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Finding the Third Proportional to 346,150.69 and 747,660.38

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Solution

The third proportional to 346,150.69 and 747,660.38 is: 1,614,892.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,150.69 : 747,660.38 = 747,660.38 : x
  2. Step 2: Convert to fraction form
    346,150.69/747,660.38 = 747,660.38/x
  3. Step 3: Cross multiply
    346,150.69x = 747,660.38 × 747,660.38
  4. Step 4: Simplify right side
    346,150.69x = 558,996,036,345.14
  5. Step 5: Solve for x
    x = 558,996,036,345.14/346,150.69
  6. Step 6: Final answer
    x = 1,614,892.17

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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.