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Finding the Third Proportional to 284,070 and 621,591

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Solution

The third proportional to 284,070 and 621,591 is: 1,360,141.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,070 : 621,591 = 621,591 : x
  2. Step 2: Convert to fraction form
    284,070/621,591 = 621,591/x
  3. Step 3: Cross multiply
    284,070x = 621,591 × 621,591
  4. Step 4: Simplify right side
    284,070x = 386,375,371,281
  5. Step 5: Solve for x
    x = 386,375,371,281/284,070
  6. Step 6: Final answer
    x = 1,360,141.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.