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Finding the Third Proportional to 207,788 and 452,008

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Solution

The third proportional to 207,788 and 452,008 is: 983,267.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,788 : 452,008 = 452,008 : x
  2. Step 2: Convert to fraction form
    207,788/452,008 = 452,008/x
  3. Step 3: Cross multiply
    207,788x = 452,008 × 452,008
  4. Step 4: Simplify right side
    207,788x = 204,311,232,064
  5. Step 5: Solve for x
    x = 204,311,232,064/207,788
  6. Step 6: Final answer
    x = 983,267.72

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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.