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Finding the Third Proportional to 284,410 and 614,432

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Solution

The third proportional to 284,410 and 614,432 is: 1,327,402.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,410 : 614,432 = 614,432 : x
  2. Step 2: Convert to fraction form
    284,410/614,432 = 614,432/x
  3. Step 3: Cross multiply
    284,410x = 614,432 × 614,432
  4. Step 4: Simplify right side
    284,410x = 377,526,682,624
  5. Step 5: Solve for x
    x = 377,526,682,624/284,410
  6. Step 6: Final answer
    x = 1,327,402.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.