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Finding the Third Proportional to 532,408 and 804,154

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Solution

The third proportional to 532,408 and 804,154 is: 1,214,601.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,408 : 804,154 = 804,154 : x
  2. Step 2: Convert to fraction form
    532,408/804,154 = 804,154/x
  3. Step 3: Cross multiply
    532,408x = 804,154 × 804,154
  4. Step 4: Simplify right side
    532,408x = 646,663,655,716
  5. Step 5: Solve for x
    x = 646,663,655,716/532,408
  6. Step 6: Final answer
    x = 1,214,601.69

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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.