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Finding the Third Proportional to 353,086 and 453,354

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Solution

The third proportional to 353,086 and 453,354 is: 582,095.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,086 : 453,354 = 453,354 : x
  2. Step 2: Convert to fraction form
    353,086/453,354 = 453,354/x
  3. Step 3: Cross multiply
    353,086x = 453,354 × 453,354
  4. Step 4: Simplify right side
    353,086x = 205,529,849,316
  5. Step 5: Solve for x
    x = 205,529,849,316/353,086
  6. Step 6: Final answer
    x = 582,095.72

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.