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Finding the Third Proportional to 557,585 and 887,227

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Solution

The third proportional to 557,585 and 887,227 is: 1,411,752.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,585 : 887,227 = 887,227 : x
  2. Step 2: Convert to fraction form
    557,585/887,227 = 887,227/x
  3. Step 3: Cross multiply
    557,585x = 887,227 × 887,227
  4. Step 4: Simplify right side
    557,585x = 787,171,749,529
  5. Step 5: Solve for x
    x = 787,171,749,529/557,585
  6. Step 6: Final answer
    x = 1,411,752.02

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.