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Finding the Third Proportional to 496,543.61 and 767,276.30

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Solution

The third proportional to 496,543.61 and 767,276.30 is: 1,185,621.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,543.61 : 767,276.30 = 767,276.30 : x
  2. Step 2: Convert to fraction form
    496,543.61/767,276.30 = 767,276.30/x
  3. Step 3: Cross multiply
    496,543.61x = 767,276.30 × 767,276.30
  4. Step 4: Simplify right side
    496,543.61x = 588,712,915,746.21
  5. Step 5: Solve for x
    x = 588,712,915,746.21/496,543.61
  6. Step 6: Final answer
    x = 1,185,621.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.