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Finding the Third Proportional to 429,742.13 and 653,955.19

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Solution

The third proportional to 429,742.13 and 653,955.19 is: 995,148.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,742.13 : 653,955.19 = 653,955.19 : x
  2. Step 2: Convert to fraction form
    429,742.13/653,955.19 = 653,955.19/x
  3. Step 3: Cross multiply
    429,742.13x = 653,955.19 × 653,955.19
  4. Step 4: Simplify right side
    429,742.13x = 427,657,387,258.16
  5. Step 5: Solve for x
    x = 427,657,387,258.16/429,742.13
  6. Step 6: Final answer
    x = 995,148.86

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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.