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Finding the Third Proportional to 387,858 and 599,076

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Solution

The third proportional to 387,858 and 599,076 is: 925,318.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,858 : 599,076 = 599,076 : x
  2. Step 2: Convert to fraction form
    387,858/599,076 = 599,076/x
  3. Step 3: Cross multiply
    387,858x = 599,076 × 599,076
  4. Step 4: Simplify right side
    387,858x = 358,892,053,776
  5. Step 5: Solve for x
    x = 358,892,053,776/387,858
  6. Step 6: Final answer
    x = 925,318.17

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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.