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Finding the Third Proportional to 361,141 and 572,349

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Solution

The third proportional to 361,141 and 572,349 is: 907,078.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,141 : 572,349 = 572,349 : x
  2. Step 2: Convert to fraction form
    361,141/572,349 = 572,349/x
  3. Step 3: Cross multiply
    361,141x = 572,349 × 572,349
  4. Step 4: Simplify right side
    361,141x = 327,583,377,801
  5. Step 5: Solve for x
    x = 327,583,377,801/361,141
  6. Step 6: Final answer
    x = 907,078.89

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.