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Finding the Third Proportional to 209,597 and 452,545

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Solution

The third proportional to 209,597 and 452,545 is: 977,098.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,597 : 452,545 = 452,545 : x
  2. Step 2: Convert to fraction form
    209,597/452,545 = 452,545/x
  3. Step 3: Cross multiply
    209,597x = 452,545 × 452,545
  4. Step 4: Simplify right side
    209,597x = 204,796,977,025
  5. Step 5: Solve for x
    x = 204,796,977,025/209,597
  6. Step 6: Final answer
    x = 977,098.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.