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Finding the Third Proportional to 429,244.50 and 847,680

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Solution

The third proportional to 429,244.50 and 847,680 is: 1,674,014.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,244.50 : 847,680 = 847,680 : x
  2. Step 2: Convert to fraction form
    429,244.50/847,680 = 847,680/x
  3. Step 3: Cross multiply
    429,244.50x = 847,680 × 847,680
  4. Step 4: Simplify right side
    429,244.50x = 718,561,382,400
  5. Step 5: Solve for x
    x = 718,561,382,400/429,244.50
  6. Step 6: Final answer
    x = 1,674,014.19

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.