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Finding the Third Proportional to 466,696 and 704,320

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Solution

The third proportional to 466,696 and 704,320 is: 1,062,933.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,696 : 704,320 = 704,320 : x
  2. Step 2: Convert to fraction form
    466,696/704,320 = 704,320/x
  3. Step 3: Cross multiply
    466,696x = 704,320 × 704,320
  4. Step 4: Simplify right side
    466,696x = 496,066,662,400
  5. Step 5: Solve for x
    x = 496,066,662,400/466,696
  6. Step 6: Final answer
    x = 1,062,933.18

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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.