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Finding the Third Proportional to 349,565 and 744,886

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Solution

The third proportional to 349,565 and 744,886 is: 1,587,273.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,565 : 744,886 = 744,886 : x
  2. Step 2: Convert to fraction form
    349,565/744,886 = 744,886/x
  3. Step 3: Cross multiply
    349,565x = 744,886 × 744,886
  4. Step 4: Simplify right side
    349,565x = 554,855,152,996
  5. Step 5: Solve for x
    x = 554,855,152,996/349,565
  6. Step 6: Final answer
    x = 1,587,273.19

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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.