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Finding the Third Proportional to 207,387 and 452,290.50

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Solution

The third proportional to 207,387 and 452,290.50 is: 986,400.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,387 : 452,290.50 = 452,290.50 : x
  2. Step 2: Convert to fraction form
    207,387/452,290.50 = 452,290.50/x
  3. Step 3: Cross multiply
    207,387x = 452,290.50 × 452,290.50
  4. Step 4: Simplify right side
    207,387x = 204,566,696,390.25
  5. Step 5: Solve for x
    x = 204,566,696,390.25/207,387
  6. Step 6: Final answer
    x = 986,400.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.