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Finding the Third Proportional to 469,887 and 756,591

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Solution

The third proportional to 469,887 and 756,591 is: 1,218,228.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,887 : 756,591 = 756,591 : x
  2. Step 2: Convert to fraction form
    469,887/756,591 = 756,591/x
  3. Step 3: Cross multiply
    469,887x = 756,591 × 756,591
  4. Step 4: Simplify right side
    469,887x = 572,429,941,281
  5. Step 5: Solve for x
    x = 572,429,941,281/469,887
  6. Step 6: Final answer
    x = 1,218,228.94

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.