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Finding the Third Proportional to 462,893 and 721,403

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Solution

The third proportional to 462,893 and 721,403 is: 1,124,282.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,893 : 721,403 = 721,403 : x
  2. Step 2: Convert to fraction form
    462,893/721,403 = 721,403/x
  3. Step 3: Cross multiply
    462,893x = 721,403 × 721,403
  4. Step 4: Simplify right side
    462,893x = 520,422,288,409
  5. Step 5: Solve for x
    x = 520,422,288,409/462,893
  6. Step 6: Final answer
    x = 1,124,282.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.