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Finding the Third Proportional to 466,714 and 704,347

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Solution

The third proportional to 466,714 and 704,347 is: 1,062,973.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,714 : 704,347 = 704,347 : x
  2. Step 2: Convert to fraction form
    466,714/704,347 = 704,347/x
  3. Step 3: Cross multiply
    466,714x = 704,347 × 704,347
  4. Step 4: Simplify right side
    466,714x = 496,104,696,409
  5. Step 5: Solve for x
    x = 496,104,696,409/466,714
  6. Step 6: Final answer
    x = 1,062,973.68

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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.