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Finding the Third Proportional to 344,792 and 731,050

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Solution

The third proportional to 344,792 and 731,050 is: 1,550,018.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,792 : 731,050 = 731,050 : x
  2. Step 2: Convert to fraction form
    344,792/731,050 = 731,050/x
  3. Step 3: Cross multiply
    344,792x = 731,050 × 731,050
  4. Step 4: Simplify right side
    344,792x = 534,434,102,500
  5. Step 5: Solve for x
    x = 534,434,102,500/344,792
  6. Step 6: Final answer
    x = 1,550,018.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.