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Finding the Third Proportional to 366,459 and 560,586

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Solution

The third proportional to 366,459 and 560,586 is: 857,549.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,459 : 560,586 = 560,586 : x
  2. Step 2: Convert to fraction form
    366,459/560,586 = 560,586/x
  3. Step 3: Cross multiply
    366,459x = 560,586 × 560,586
  4. Step 4: Simplify right side
    366,459x = 314,256,663,396
  5. Step 5: Solve for x
    x = 314,256,663,396/366,459
  6. Step 6: Final answer
    x = 857,549.31

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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.