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Finding the Third Proportional to 316,418 and 695,060

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Solution

The third proportional to 316,418 and 695,060 is: 1,526,804.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,418 : 695,060 = 695,060 : x
  2. Step 2: Convert to fraction form
    316,418/695,060 = 695,060/x
  3. Step 3: Cross multiply
    316,418x = 695,060 × 695,060
  4. Step 4: Simplify right side
    316,418x = 483,108,403,600
  5. Step 5: Solve for x
    x = 483,108,403,600/316,418
  6. Step 6: Final answer
    x = 1,526,804.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.