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Finding the Third Proportional to 402,439.50 and 851,466

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Solution

The third proportional to 402,439.50 and 851,466 is: 1,801,498.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,439.50 : 851,466 = 851,466 : x
  2. Step 2: Convert to fraction form
    402,439.50/851,466 = 851,466/x
  3. Step 3: Cross multiply
    402,439.50x = 851,466 × 851,466
  4. Step 4: Simplify right side
    402,439.50x = 724,994,349,156
  5. Step 5: Solve for x
    x = 724,994,349,156/402,439.50
  6. Step 6: Final answer
    x = 1,801,498.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.