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Finding the Third Proportional to 472,904 and 665,124

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Solution

The third proportional to 472,904 and 665,124 is: 935,475.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,904 : 665,124 = 665,124 : x
  2. Step 2: Convert to fraction form
    472,904/665,124 = 665,124/x
  3. Step 3: Cross multiply
    472,904x = 665,124 × 665,124
  4. Step 4: Simplify right side
    472,904x = 442,389,935,376
  5. Step 5: Solve for x
    x = 442,389,935,376/472,904
  6. Step 6: Final answer
    x = 935,475.14

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.