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Finding the Third Proportional to 584,262.38 and 874,058.16

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Solution

The third proportional to 584,262.38 and 874,058.16 is: 1,307,593.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,262.38 : 874,058.16 = 874,058.16 : x
  2. Step 2: Convert to fraction form
    584,262.38/874,058.16 = 874,058.16/x
  3. Step 3: Cross multiply
    584,262.38x = 874,058.16 × 874,058.16
  4. Step 4: Simplify right side
    584,262.38x = 763,977,660,507.15
  5. Step 5: Solve for x
    x = 763,977,660,507.15/584,262.38
  6. Step 6: Final answer
    x = 1,307,593.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.