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Finding the Third Proportional to 301,466,419.50 and 653,015,668.50

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Solution

The third proportional to 301,466,419.50 and 653,015,668.50 is: 1,414,517,291.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,466,419.50 : 653,015,668.50 = 653,015,668.50 : x
  2. Step 2: Convert to fraction form
    301,466,419.50/653,015,668.50 = 653,015,668.50/x
  3. Step 3: Cross multiply
    301,466,419.50x = 653,015,668.50 × 653,015,668.50
  4. Step 4: Simplify right side
    301,466,419.50x = 426,429,463,306,501,888
  5. Step 5: Solve for x
    x = 426,429,463,306,501,888/301,466,419.50
  6. Step 6: Final answer
    x = 1,414,517,291.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.