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Finding the Third Proportional to 316,260 and 502,992

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Solution

The third proportional to 316,260 and 502,992 is: 799,977.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,260 : 502,992 = 502,992 : x
  2. Step 2: Convert to fraction form
    316,260/502,992 = 502,992/x
  3. Step 3: Cross multiply
    316,260x = 502,992 × 502,992
  4. Step 4: Simplify right side
    316,260x = 253,000,952,064
  5. Step 5: Solve for x
    x = 253,000,952,064/316,260
  6. Step 6: Final answer
    x = 799,977.71

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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.