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Finding the Third Proportional to 302,440.50 and 652,126.50

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Solution

The third proportional to 302,440.50 and 652,126.50 is: 1,406,124.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,440.50 : 652,126.50 = 652,126.50 : x
  2. Step 2: Convert to fraction form
    302,440.50/652,126.50 = 652,126.50/x
  3. Step 3: Cross multiply
    302,440.50x = 652,126.50 × 652,126.50
  4. Step 4: Simplify right side
    302,440.50x = 425,268,972,002.25
  5. Step 5: Solve for x
    x = 425,268,972,002.25/302,440.50
  6. Step 6: Final answer
    x = 1,406,124.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.