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Finding the Third Proportional to 438,432 and 594,141

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Solution

The third proportional to 438,432 and 594,141 is: 805,150.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,432 : 594,141 = 594,141 : x
  2. Step 2: Convert to fraction form
    438,432/594,141 = 594,141/x
  3. Step 3: Cross multiply
    438,432x = 594,141 × 594,141
  4. Step 4: Simplify right side
    438,432x = 353,003,527,881
  5. Step 5: Solve for x
    x = 353,003,527,881/438,432
  6. Step 6: Final answer
    x = 805,150.01

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.