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Finding the Third Proportional to 587,702 and 872,913

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Solution

The third proportional to 587,702 and 872,913 is: 1,296,536.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,702 : 872,913 = 872,913 : x
  2. Step 2: Convert to fraction form
    587,702/872,913 = 872,913/x
  3. Step 3: Cross multiply
    587,702x = 872,913 × 872,913
  4. Step 4: Simplify right side
    587,702x = 761,977,105,569
  5. Step 5: Solve for x
    x = 761,977,105,569/587,702
  6. Step 6: Final answer
    x = 1,296,536.52

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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.