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Finding the Third Proportional to 457,652.53 and 995,574.80

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Solution

The third proportional to 457,652.53 and 995,574.80 is: 2,165,767.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,652.53 : 995,574.80 = 995,574.80 : x
  2. Step 2: Convert to fraction form
    457,652.53/995,574.80 = 995,574.80/x
  3. Step 3: Cross multiply
    457,652.53x = 995,574.80 × 995,574.80
  4. Step 4: Simplify right side
    457,652.53x = 991,169,176,172.70
  5. Step 5: Solve for x
    x = 991,169,176,172.70/457,652.53
  6. Step 6: Final answer
    x = 2,165,767.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.