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Finding the Third Proportional to 322,248 and 706,704

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Solution

The third proportional to 322,248 and 706,704 is: 1,549,832.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,248 : 706,704 = 706,704 : x
  2. Step 2: Convert to fraction form
    322,248/706,704 = 706,704/x
  3. Step 3: Cross multiply
    322,248x = 706,704 × 706,704
  4. Step 4: Simplify right side
    322,248x = 499,430,543,616
  5. Step 5: Solve for x
    x = 499,430,543,616/322,248
  6. Step 6: Final answer
    x = 1,549,832.87

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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.