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Finding the Third Proportional to 429,241.50 and 847,674

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Solution

The third proportional to 429,241.50 and 847,674 is: 1,674,002.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,241.50 : 847,674 = 847,674 : x
  2. Step 2: Convert to fraction form
    429,241.50/847,674 = 847,674/x
  3. Step 3: Cross multiply
    429,241.50x = 847,674 × 847,674
  4. Step 4: Simplify right side
    429,241.50x = 718,551,210,276
  5. Step 5: Solve for x
    x = 718,551,210,276/429,241.50
  6. Step 6: Final answer
    x = 1,674,002.19

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