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Finding the Third Proportional to 466,712 and 704,344

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Solution

The third proportional to 466,712 and 704,344 is: 1,062,969.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,712 : 704,344 = 704,344 : x
  2. Step 2: Convert to fraction form
    466,712/704,344 = 704,344/x
  3. Step 3: Cross multiply
    466,712x = 704,344 × 704,344
  4. Step 4: Simplify right side
    466,712x = 496,100,470,336
  5. Step 5: Solve for x
    x = 496,100,470,336/466,712
  6. Step 6: Final answer
    x = 1,062,969.18

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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.