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Finding the Third Proportional to 430,041.66 and 651,760.17

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Solution

The third proportional to 430,041.66 and 651,760.17 is: 987,791.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,041.66 : 651,760.17 = 651,760.17 : x
  2. Step 2: Convert to fraction form
    430,041.66/651,760.17 = 651,760.17/x
  3. Step 3: Cross multiply
    430,041.66x = 651,760.17 × 651,760.17
  4. Step 4: Simplify right side
    430,041.66x = 424,791,321,642.53
  5. Step 5: Solve for x
    x = 424,791,321,642.53/430,041.66
  6. Step 6: Final answer
    x = 987,791.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.