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Finding the Third Proportional to 472,906 and 663,582

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Solution

The third proportional to 472,906 and 663,582 is: 931,138.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,906 : 663,582 = 663,582 : x
  2. Step 2: Convert to fraction form
    472,906/663,582 = 663,582/x
  3. Step 3: Cross multiply
    472,906x = 663,582 × 663,582
  4. Step 4: Simplify right side
    472,906x = 440,341,070,724
  5. Step 5: Solve for x
    x = 440,341,070,724/472,906
  6. Step 6: Final answer
    x = 931,138.68

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.