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Finding the Third Proportional to 470,262 and 672,210

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Solution

The third proportional to 470,262 and 672,210 is: 960,881.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,262 : 672,210 = 672,210 : x
  2. Step 2: Convert to fraction form
    470,262/672,210 = 672,210/x
  3. Step 3: Cross multiply
    470,262x = 672,210 × 672,210
  4. Step 4: Simplify right side
    470,262x = 451,866,284,100
  5. Step 5: Solve for x
    x = 451,866,284,100/470,262
  6. Step 6: Final answer
    x = 960,881.99

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.