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Finding the Third Proportional to 387,184 and 580,776

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Solution

The third proportional to 387,184 and 580,776 is: 871,164

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,184 : 580,776 = 580,776 : x
  2. Step 2: Convert to fraction form
    387,184/580,776 = 580,776/x
  3. Step 3: Cross multiply
    387,184x = 580,776 × 580,776
  4. Step 4: Simplify right side
    387,184x = 337,300,762,176
  5. Step 5: Solve for x
    x = 337,300,762,176/387,184
  6. Step 6: Final answer
    x = 871,164

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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.