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Finding the Third Proportional to 207,910 and 456,416

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Solution

The third proportional to 207,910 and 456,416 is: 1,001,950.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,910 : 456,416 = 456,416 : x
  2. Step 2: Convert to fraction form
    207,910/456,416 = 456,416/x
  3. Step 3: Cross multiply
    207,910x = 456,416 × 456,416
  4. Step 4: Simplify right side
    207,910x = 208,315,565,056
  5. Step 5: Solve for x
    x = 208,315,565,056/207,910
  6. Step 6: Final answer
    x = 1,001,950.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.