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Finding the Third Proportional to 587,710 and 872,924

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Solution

The third proportional to 587,710 and 872,924 is: 1,296,551.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,710 : 872,924 = 872,924 : x
  2. Step 2: Convert to fraction form
    587,710/872,924 = 872,924/x
  3. Step 3: Cross multiply
    587,710x = 872,924 × 872,924
  4. Step 4: Simplify right side
    587,710x = 761,996,309,776
  5. Step 5: Solve for x
    x = 761,996,309,776/587,710
  6. Step 6: Final answer
    x = 1,296,551.55

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