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Finding the Third Proportional to 466,910 and 704,651

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Solution

The third proportional to 466,910 and 704,651 is: 1,063,444.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,910 : 704,651 = 704,651 : x
  2. Step 2: Convert to fraction form
    466,910/704,651 = 704,651/x
  3. Step 3: Cross multiply
    466,910x = 704,651 × 704,651
  4. Step 4: Simplify right side
    466,910x = 496,533,031,801
  5. Step 5: Solve for x
    x = 496,533,031,801/466,910
  6. Step 6: Final answer
    x = 1,063,444.84

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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.