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Finding the Third Proportional to 328,929 and 708,613

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Solution

The third proportional to 328,929 and 708,613 is: 1,526,567.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,929 : 708,613 = 708,613 : x
  2. Step 2: Convert to fraction form
    328,929/708,613 = 708,613/x
  3. Step 3: Cross multiply
    328,929x = 708,613 × 708,613
  4. Step 4: Simplify right side
    328,929x = 502,132,383,769
  5. Step 5: Solve for x
    x = 502,132,383,769/328,929
  6. Step 6: Final answer
    x = 1,526,567.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.