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Finding the Third Proportional to 362,725 and 563,549

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Solution

The third proportional to 362,725 and 563,549 is: 875,559.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,725 : 563,549 = 563,549 : x
  2. Step 2: Convert to fraction form
    362,725/563,549 = 563,549/x
  3. Step 3: Cross multiply
    362,725x = 563,549 × 563,549
  4. Step 4: Simplify right side
    362,725x = 317,587,475,401
  5. Step 5: Solve for x
    x = 317,587,475,401/362,725
  6. Step 6: Final answer
    x = 875,559.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.