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Finding the Third Proportional to 444,082 and 654,363

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Solution

The third proportional to 444,082 and 654,363 is: 964,215.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,082 : 654,363 = 654,363 : x
  2. Step 2: Convert to fraction form
    444,082/654,363 = 654,363/x
  3. Step 3: Cross multiply
    444,082x = 654,363 × 654,363
  4. Step 4: Simplify right side
    444,082x = 428,190,935,769
  5. Step 5: Solve for x
    x = 428,190,935,769/444,082
  6. Step 6: Final answer
    x = 964,215.92

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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.