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Finding the Third Proportional to 200,610 and 297,597

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Solution

The third proportional to 200,610 and 297,597 is: 441,473.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,610 : 297,597 = 297,597 : x
  2. Step 2: Convert to fraction form
    200,610/297,597 = 297,597/x
  3. Step 3: Cross multiply
    200,610x = 297,597 × 297,597
  4. Step 4: Simplify right side
    200,610x = 88,563,974,409
  5. Step 5: Solve for x
    x = 88,563,974,409/200,610
  6. Step 6: Final answer
    x = 441,473.38

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.