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Finding the Third Proportional to 246,584 and 371,292

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Solution

The third proportional to 246,584 and 371,292 is: 559,070.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,584 : 371,292 = 371,292 : x
  2. Step 2: Convert to fraction form
    246,584/371,292 = 371,292/x
  3. Step 3: Cross multiply
    246,584x = 371,292 × 371,292
  4. Step 4: Simplify right side
    246,584x = 137,857,749,264
  5. Step 5: Solve for x
    x = 137,857,749,264/246,584
  6. Step 6: Final answer
    x = 559,070.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.