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Finding the Third Proportional to 587,700 and 872,908

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Solution

The third proportional to 587,700 and 872,908 is: 1,296,526.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,700 : 872,908 = 872,908 : x
  2. Step 2: Convert to fraction form
    587,700/872,908 = 872,908/x
  3. Step 3: Cross multiply
    587,700x = 872,908 × 872,908
  4. Step 4: Simplify right side
    587,700x = 761,968,376,464
  5. Step 5: Solve for x
    x = 761,968,376,464/587,700
  6. Step 6: Final answer
    x = 1,296,526.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.