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Finding the Third Proportional to 345,456.56 and 747,500.06

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Solution

The third proportional to 345,456.56 and 747,500.06 is: 1,617,443.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,456.56 : 747,500.06 = 747,500.06 : x
  2. Step 2: Convert to fraction form
    345,456.56/747,500.06 = 747,500.06/x
  3. Step 3: Cross multiply
    345,456.56x = 747,500.06 × 747,500.06
  4. Step 4: Simplify right side
    345,456.56x = 558,756,343,437.50
  5. Step 5: Solve for x
    x = 558,756,343,437.50/345,456.56
  6. Step 6: Final answer
    x = 1,617,443.13

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.