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Finding the Third Proportional to 466,884 and 709,560

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Solution

The third proportional to 466,884 and 709,560 is: 1,078,373.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,884 : 709,560 = 709,560 : x
  2. Step 2: Convert to fraction form
    466,884/709,560 = 709,560/x
  3. Step 3: Cross multiply
    466,884x = 709,560 × 709,560
  4. Step 4: Simplify right side
    466,884x = 503,475,393,600
  5. Step 5: Solve for x
    x = 503,475,393,600/466,884
  6. Step 6: Final answer
    x = 1,078,373.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.