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Finding the Third Proportional to 366,460 and 560,588

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Solution

The third proportional to 366,460 and 560,588 is: 857,553.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,460 : 560,588 = 560,588 : x
  2. Step 2: Convert to fraction form
    366,460/560,588 = 560,588/x
  3. Step 3: Cross multiply
    366,460x = 560,588 × 560,588
  4. Step 4: Simplify right side
    366,460x = 314,258,905,744
  5. Step 5: Solve for x
    x = 314,258,905,744/366,460
  6. Step 6: Final answer
    x = 857,553.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.