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Finding the Third Proportional to 576,307.50 and 1,264,716

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Solution

The third proportional to 576,307.50 and 1,264,716 is: 2,775,439.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,307.50 : 1,264,716 = 1,264,716 : x
  2. Step 2: Convert to fraction form
    576,307.50/1,264,716 = 1,264,716/x
  3. Step 3: Cross multiply
    576,307.50x = 1,264,716 × 1,264,716
  4. Step 4: Simplify right side
    576,307.50x = 1,599,506,560,656
  5. Step 5: Solve for x
    x = 1,599,506,560,656/576,307.50
  6. Step 6: Final answer
    x = 2,775,439.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.