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Finding the Third Proportional to 452,209.50 and 983,151

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Solution

The third proportional to 452,209.50 and 983,151 is: 2,137,473.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,209.50 : 983,151 = 983,151 : x
  2. Step 2: Convert to fraction form
    452,209.50/983,151 = 983,151/x
  3. Step 3: Cross multiply
    452,209.50x = 983,151 × 983,151
  4. Step 4: Simplify right side
    452,209.50x = 966,585,888,801
  5. Step 5: Solve for x
    x = 966,585,888,801/452,209.50
  6. Step 6: Final answer
    x = 2,137,473.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.