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Finding the Third Proportional to 349,572 and 744,900

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Solution

The third proportional to 349,572 and 744,900 is: 1,587,301.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,572 : 744,900 = 744,900 : x
  2. Step 2: Convert to fraction form
    349,572/744,900 = 744,900/x
  3. Step 3: Cross multiply
    349,572x = 744,900 × 744,900
  4. Step 4: Simplify right side
    349,572x = 554,876,010,000
  5. Step 5: Solve for x
    x = 554,876,010,000/349,572
  6. Step 6: Final answer
    x = 1,587,301.07

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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.