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Finding the Third Proportional to 519,265.13 and 786,058.88

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Solution

The third proportional to 519,265.13 and 786,058.88 is: 1,189,928.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,265.13 : 786,058.88 = 786,058.88 : x
  2. Step 2: Convert to fraction form
    519,265.13/786,058.88 = 786,058.88/x
  3. Step 3: Cross multiply
    519,265.13x = 786,058.88 × 786,058.88
  4. Step 4: Simplify right side
    519,265.13x = 617,888,554,966.27
  5. Step 5: Solve for x
    x = 617,888,554,966.27/519,265.13
  6. Step 6: Final answer
    x = 1,189,928.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.