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Finding the Third Proportional to 458,688.76 and 976,426.52

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Solution

The third proportional to 458,688.76 and 976,426.52 is: 2,078,552.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,688.76 : 976,426.52 = 976,426.52 : x
  2. Step 2: Convert to fraction form
    458,688.76/976,426.52 = 976,426.52/x
  3. Step 3: Cross multiply
    458,688.76x = 976,426.52 × 976,426.52
  4. Step 4: Simplify right side
    458,688.76x = 953,408,755,672.24
  5. Step 5: Solve for x
    x = 953,408,755,672.24/458,688.76
  6. Step 6: Final answer
    x = 2,078,552.68

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.