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Finding the Third Proportional to 470,266.13 and 672,216.13

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Solution

The third proportional to 470,266.13 and 672,216.13 is: 960,891.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,266.13 : 672,216.13 = 672,216.13 : x
  2. Step 2: Convert to fraction form
    470,266.13/672,216.13 = 672,216.13/x
  3. Step 3: Cross multiply
    470,266.13x = 672,216.13 × 672,216.13
  4. Step 4: Simplify right side
    470,266.13x = 451,874,518,710.02
  5. Step 5: Solve for x
    x = 451,874,518,710.02/470,266.13
  6. Step 6: Final answer
    x = 960,891.07

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Why These Related Problems?

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