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Finding the Third Proportional to 344,292 and 745,758

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Solution

The third proportional to 344,292 and 745,758 is: 1,615,358.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,292 : 745,758 = 745,758 : x
  2. Step 2: Convert to fraction form
    344,292/745,758 = 745,758/x
  3. Step 3: Cross multiply
    344,292x = 745,758 × 745,758
  4. Step 4: Simplify right side
    344,292x = 556,154,994,564
  5. Step 5: Solve for x
    x = 556,154,994,564/344,292
  6. Step 6: Final answer
    x = 1,615,358.46

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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.