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Finding the Third Proportional to 269,226 and 566,354

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Solution

The third proportional to 269,226 and 566,354 is: 1,191,403.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,226 : 566,354 = 566,354 : x
  2. Step 2: Convert to fraction form
    269,226/566,354 = 566,354/x
  3. Step 3: Cross multiply
    269,226x = 566,354 × 566,354
  4. Step 4: Simplify right side
    269,226x = 320,756,853,316
  5. Step 5: Solve for x
    x = 320,756,853,316/269,226
  6. Step 6: Final answer
    x = 1,191,403.70

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.