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Finding the Third Proportional to 291,186 and 452,331

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Solution

The third proportional to 291,186 and 452,331 is: 702,655.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,186 : 452,331 = 452,331 : x
  2. Step 2: Convert to fraction form
    291,186/452,331 = 452,331/x
  3. Step 3: Cross multiply
    291,186x = 452,331 × 452,331
  4. Step 4: Simplify right side
    291,186x = 204,603,333,561
  5. Step 5: Solve for x
    x = 204,603,333,561/291,186
  6. Step 6: Final answer
    x = 702,655.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.