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Finding the Third Proportional to 316,264.50 and 502,551

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Solution

The third proportional to 316,264.50 and 502,551 is: 798,564.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,264.50 : 502,551 = 502,551 : x
  2. Step 2: Convert to fraction form
    316,264.50/502,551 = 502,551/x
  3. Step 3: Cross multiply
    316,264.50x = 502,551 × 502,551
  4. Step 4: Simplify right side
    316,264.50x = 252,557,507,601
  5. Step 5: Solve for x
    x = 252,557,507,601/316,264.50
  6. Step 6: Final answer
    x = 798,564.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.