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Finding the Third Proportional to 577,584 and 861,588

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Solution

The third proportional to 577,584 and 861,588 is: 1,285,239.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,584 : 861,588 = 861,588 : x
  2. Step 2: Convert to fraction form
    577,584/861,588 = 861,588/x
  3. Step 3: Cross multiply
    577,584x = 861,588 × 861,588
  4. Step 4: Simplify right side
    577,584x = 742,333,881,744
  5. Step 5: Solve for x
    x = 742,333,881,744/577,584
  6. Step 6: Final answer
    x = 1,285,239.69

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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.