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Finding the Third Proportional to 344,206 and 745,617

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Solution

The third proportional to 344,206 and 745,617 is: 1,615,151.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,206 : 745,617 = 745,617 : x
  2. Step 2: Convert to fraction form
    344,206/745,617 = 745,617/x
  3. Step 3: Cross multiply
    344,206x = 745,617 × 745,617
  4. Step 4: Simplify right side
    344,206x = 555,944,710,689
  5. Step 5: Solve for x
    x = 555,944,710,689/344,206
  6. Step 6: Final answer
    x = 1,615,151.13

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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.