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Finding the Third Proportional to 429,261.75 and 932,330.25

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Solution

The third proportional to 429,261.75 and 932,330.25 is: 2,024,964.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,261.75 : 932,330.25 = 932,330.25 : x
  2. Step 2: Convert to fraction form
    429,261.75/932,330.25 = 932,330.25/x
  3. Step 3: Cross multiply
    429,261.75x = 932,330.25 × 932,330.25
  4. Step 4: Simplify right side
    429,261.75x = 869,239,695,065.06
  5. Step 5: Solve for x
    x = 869,239,695,065.06/429,261.75
  6. Step 6: Final answer
    x = 2,024,964.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.