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Finding the Third Proportional to 387,862 and 599,082

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Solution

The third proportional to 387,862 and 599,082 is: 925,327.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,862 : 599,082 = 599,082 : x
  2. Step 2: Convert to fraction form
    387,862/599,082 = 599,082/x
  3. Step 3: Cross multiply
    387,862x = 599,082 × 599,082
  4. Step 4: Simplify right side
    387,862x = 358,899,242,724
  5. Step 5: Solve for x
    x = 358,899,242,724/387,862
  6. Step 6: Final answer
    x = 925,327.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.