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Finding the Third Proportional to 207,313 and 435,514

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Solution

The third proportional to 207,313 and 435,514 is: 914,908.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,313 : 435,514 = 435,514 : x
  2. Step 2: Convert to fraction form
    207,313/435,514 = 435,514/x
  3. Step 3: Cross multiply
    207,313x = 435,514 × 435,514
  4. Step 4: Simplify right side
    207,313x = 189,672,444,196
  5. Step 5: Solve for x
    x = 189,672,444,196/207,313
  6. Step 6: Final answer
    x = 914,908.59

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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.