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Finding the Third Proportional to 466,720 and 704,356

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Solution

The third proportional to 466,720 and 704,356 is: 1,062,987.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,720 : 704,356 = 704,356 : x
  2. Step 2: Convert to fraction form
    466,720/704,356 = 704,356/x
  3. Step 3: Cross multiply
    466,720x = 704,356 × 704,356
  4. Step 4: Simplify right side
    466,720x = 496,117,374,736
  5. Step 5: Solve for x
    x = 496,117,374,736/466,720
  6. Step 6: Final answer
    x = 1,062,987.18

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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.