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Finding the Third Proportional to 341,656.31 and 747,662.06

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Solution

The third proportional to 341,656.31 and 747,662.06 is: 1,636,142.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,656.31 : 747,662.06 = 747,662.06 : x
  2. Step 2: Convert to fraction form
    341,656.31/747,662.06 = 747,662.06/x
  3. Step 3: Cross multiply
    341,656.31x = 747,662.06 × 747,662.06
  4. Step 4: Simplify right side
    341,656.31x = 558,998,559,701.75
  5. Step 5: Solve for x
    x = 558,998,559,701.75/341,656.31
  6. Step 6: Final answer
    x = 1,636,142.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.