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Finding the Third Proportional to 587,800.13 and 879,421.88

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Solution

The third proportional to 587,800.13 and 879,421.88 is: 1,315,724.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,800.13 : 879,421.88 = 879,421.88 : x
  2. Step 2: Convert to fraction form
    587,800.13/879,421.88 = 879,421.88/x
  3. Step 3: Cross multiply
    587,800.13x = 879,421.88 × 879,421.88
  4. Step 4: Simplify right side
    587,800.13x = 773,382,834,228.52
  5. Step 5: Solve for x
    x = 773,382,834,228.52/587,800.13
  6. Step 6: Final answer
    x = 1,315,724.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.