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Finding the Third Proportional to 453,712 and 696,432

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Solution

The third proportional to 453,712 and 696,432 is: 1,068,998.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,712 : 696,432 = 696,432 : x
  2. Step 2: Convert to fraction form
    453,712/696,432 = 696,432/x
  3. Step 3: Cross multiply
    453,712x = 696,432 × 696,432
  4. Step 4: Simplify right side
    453,712x = 485,017,530,624
  5. Step 5: Solve for x
    x = 485,017,530,624/453,712
  6. Step 6: Final answer
    x = 1,068,998.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.