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Finding the Third Proportional to 349,567 and 744,890

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Solution

The third proportional to 349,567 and 744,890 is: 1,587,281.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,567 : 744,890 = 744,890 : x
  2. Step 2: Convert to fraction form
    349,567/744,890 = 744,890/x
  3. Step 3: Cross multiply
    349,567x = 744,890 × 744,890
  4. Step 4: Simplify right side
    349,567x = 554,861,112,100
  5. Step 5: Solve for x
    x = 554,861,112,100/349,567
  6. Step 6: Final answer
    x = 1,587,281.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.