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Finding the Third Proportional to 382,461.75 and 563,122.13

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Solution

The third proportional to 382,461.75 and 563,122.13 is: 829,119.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,461.75 : 563,122.13 = 563,122.13 : x
  2. Step 2: Convert to fraction form
    382,461.75/563,122.13 = 563,122.13/x
  3. Step 3: Cross multiply
    382,461.75x = 563,122.13 × 563,122.13
  4. Step 4: Simplify right side
    382,461.75x = 317,106,527,664.52
  5. Step 5: Solve for x
    x = 317,106,527,664.52/382,461.75
  6. Step 6: Final answer
    x = 829,119.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.