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Finding the Third Proportional to 402,876 and 847,224

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Solution

The third proportional to 402,876 and 847,224 is: 1,781,661.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,876 : 847,224 = 847,224 : x
  2. Step 2: Convert to fraction form
    402,876/847,224 = 847,224/x
  3. Step 3: Cross multiply
    402,876x = 847,224 × 847,224
  4. Step 4: Simplify right side
    402,876x = 717,788,506,176
  5. Step 5: Solve for x
    x = 717,788,506,176/402,876
  6. Step 6: Final answer
    x = 1,781,661.12

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.