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Finding the Third Proportional to 344,290 and 745,753

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Solution

The third proportional to 344,290 and 745,753 is: 1,615,346.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,290 : 745,753 = 745,753 : x
  2. Step 2: Convert to fraction form
    344,290/745,753 = 745,753/x
  3. Step 3: Cross multiply
    344,290x = 745,753 × 745,753
  4. Step 4: Simplify right side
    344,290x = 556,147,537,009
  5. Step 5: Solve for x
    x = 556,147,537,009/344,290
  6. Step 6: Final answer
    x = 1,615,346.18

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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.