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Finding the Third Proportional to 327,934 and 707,528

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Solution

The third proportional to 327,934 and 707,528 is: 1,526,514.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,934 : 707,528 = 707,528 : x
  2. Step 2: Convert to fraction form
    327,934/707,528 = 707,528/x
  3. Step 3: Cross multiply
    327,934x = 707,528 × 707,528
  4. Step 4: Simplify right side
    327,934x = 500,595,870,784
  5. Step 5: Solve for x
    x = 500,595,870,784/327,934
  6. Step 6: Final answer
    x = 1,526,514.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.