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Finding the Third Proportional to 508,082 and 748,087

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Solution

The third proportional to 508,082 and 748,087 is: 1,101,464.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,082 : 748,087 = 748,087 : x
  2. Step 2: Convert to fraction form
    508,082/748,087 = 748,087/x
  3. Step 3: Cross multiply
    508,082x = 748,087 × 748,087
  4. Step 4: Simplify right side
    508,082x = 559,634,159,569
  5. Step 5: Solve for x
    x = 559,634,159,569/508,082
  6. Step 6: Final answer
    x = 1,101,464.25

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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.