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Finding the Third Proportional to 345,829.50 and 732,699

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Solution

The third proportional to 345,829.50 and 732,699 is: 1,552,348.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,829.50 : 732,699 = 732,699 : x
  2. Step 2: Convert to fraction form
    345,829.50/732,699 = 732,699/x
  3. Step 3: Cross multiply
    345,829.50x = 732,699 × 732,699
  4. Step 4: Simplify right side
    345,829.50x = 536,847,824,601
  5. Step 5: Solve for x
    x = 536,847,824,601/345,829.50
  6. Step 6: Final answer
    x = 1,552,348.27

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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.