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Finding the Third Proportional to 316,854 and 704,548

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Solution

The third proportional to 316,854 and 704,548 is: 1,566,613.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,854 : 704,548 = 704,548 : x
  2. Step 2: Convert to fraction form
    316,854/704,548 = 704,548/x
  3. Step 3: Cross multiply
    316,854x = 704,548 × 704,548
  4. Step 4: Simplify right side
    316,854x = 496,387,884,304
  5. Step 5: Solve for x
    x = 496,387,884,304/316,854
  6. Step 6: Final answer
    x = 1,566,613.91

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.