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Finding the Third Proportional to 466,704 and 704,352

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Solution

The third proportional to 466,704 and 704,352 is: 1,063,011.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,704 : 704,352 = 704,352 : x
  2. Step 2: Convert to fraction form
    466,704/704,352 = 704,352/x
  3. Step 3: Cross multiply
    466,704x = 704,352 × 704,352
  4. Step 4: Simplify right side
    466,704x = 496,111,739,904
  5. Step 5: Solve for x
    x = 496,111,739,904/466,704
  6. Step 6: Final answer
    x = 1,063,011.54

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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.