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Finding the Third Proportional to 466,912 and 704,654

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Solution

The third proportional to 466,912 and 704,654 is: 1,063,449.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,912 : 704,654 = 704,654 : x
  2. Step 2: Convert to fraction form
    466,912/704,654 = 704,654/x
  3. Step 3: Cross multiply
    466,912x = 704,654 × 704,654
  4. Step 4: Simplify right side
    466,912x = 496,537,259,716
  5. Step 5: Solve for x
    x = 496,537,259,716/466,912
  6. Step 6: Final answer
    x = 1,063,449.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.