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Finding the Third Proportional to 452,179.13 and 719,782.88

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Solution

The third proportional to 452,179.13 and 719,782.88 is: 1,145,756.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,179.13 : 719,782.88 = 719,782.88 : x
  2. Step 2: Convert to fraction form
    452,179.13/719,782.88 = 719,782.88/x
  3. Step 3: Cross multiply
    452,179.13x = 719,782.88 × 719,782.88
  4. Step 4: Simplify right side
    452,179.13x = 518,087,387,143.27
  5. Step 5: Solve for x
    x = 518,087,387,143.27/452,179.13
  6. Step 6: Final answer
    x = 1,145,756.98

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.