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Finding the Third Proportional to 470,270 and 672,222

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Solution

The third proportional to 470,270 and 672,222 is: 960,899.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,270 : 672,222 = 672,222 : x
  2. Step 2: Convert to fraction form
    470,270/672,222 = 672,222/x
  3. Step 3: Cross multiply
    470,270x = 672,222 × 672,222
  4. Step 4: Simplify right side
    470,270x = 451,882,417,284
  5. Step 5: Solve for x
    x = 451,882,417,284/470,270
  6. Step 6: Final answer
    x = 960,899.95

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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.