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Finding the Third Proportional to 346,149.75 and 747,657.75

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Solution

The third proportional to 346,149.75 and 747,657.75 is: 1,614,885.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,149.75 : 747,657.75 = 747,657.75 : x
  2. Step 2: Convert to fraction form
    346,149.75/747,657.75 = 747,657.75/x
  3. Step 3: Cross multiply
    346,149.75x = 747,657.75 × 747,657.75
  4. Step 4: Simplify right side
    346,149.75x = 558,992,111,135.06
  5. Step 5: Solve for x
    x = 558,992,111,135.06/346,149.75
  6. Step 6: Final answer
    x = 1,614,885.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.