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Finding the Third Proportional to 481,288 and 705,516

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Solution

The third proportional to 481,288 and 705,516 is: 1,034,209.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,288 : 705,516 = 705,516 : x
  2. Step 2: Convert to fraction form
    481,288/705,516 = 705,516/x
  3. Step 3: Cross multiply
    481,288x = 705,516 × 705,516
  4. Step 4: Simplify right side
    481,288x = 497,752,826,256
  5. Step 5: Solve for x
    x = 497,752,826,256/481,288
  6. Step 6: Final answer
    x = 1,034,209.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.