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Finding the Third Proportional to 349,558 and 748,971

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Solution

The third proportional to 349,558 and 748,971 is: 1,604,762.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,558 : 748,971 = 748,971 : x
  2. Step 2: Convert to fraction form
    349,558/748,971 = 748,971/x
  3. Step 3: Cross multiply
    349,558x = 748,971 × 748,971
  4. Step 4: Simplify right side
    349,558x = 560,957,558,841
  5. Step 5: Solve for x
    x = 560,957,558,841/349,558
  6. Step 6: Final answer
    x = 1,604,762.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.