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Finding the Third Proportional to 372,681 and 581,161.50

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Solution

The third proportional to 372,681 and 581,161.50 is: 906,267.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,681 : 581,161.50 = 581,161.50 : x
  2. Step 2: Convert to fraction form
    372,681/581,161.50 = 581,161.50/x
  3. Step 3: Cross multiply
    372,681x = 581,161.50 × 581,161.50
  4. Step 4: Simplify right side
    372,681x = 337,748,689,082.25
  5. Step 5: Solve for x
    x = 337,748,689,082.25/372,681
  6. Step 6: Final answer
    x = 906,267.53

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.