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Finding the Third Proportional to 301,164 and 654,810

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Solution

The third proportional to 301,164 and 654,810 is: 1,423,729.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,164 : 654,810 = 654,810 : x
  2. Step 2: Convert to fraction form
    301,164/654,810 = 654,810/x
  3. Step 3: Cross multiply
    301,164x = 654,810 × 654,810
  4. Step 4: Simplify right side
    301,164x = 428,776,136,100
  5. Step 5: Solve for x
    x = 428,776,136,100/301,164
  6. Step 6: Final answer
    x = 1,423,729.72

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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.