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Finding the Third Proportional to 732,307.50 and 1,543,347

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Solution

The third proportional to 732,307.50 and 1,543,347 is: 3,252,622.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,307.50 : 1,543,347 = 1,543,347 : x
  2. Step 2: Convert to fraction form
    732,307.50/1,543,347 = 1,543,347/x
  3. Step 3: Cross multiply
    732,307.50x = 1,543,347 × 1,543,347
  4. Step 4: Simplify right side
    732,307.50x = 2,381,919,962,409
  5. Step 5: Solve for x
    x = 2,381,919,962,409/732,307.50
  6. Step 6: Final answer
    x = 3,252,622.65

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.