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Finding the Third Proportional to 295,249 and 470,022

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Solution

The third proportional to 295,249 and 470,022 is: 748,252.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,249 : 470,022 = 470,022 : x
  2. Step 2: Convert to fraction form
    295,249/470,022 = 470,022/x
  3. Step 3: Cross multiply
    295,249x = 470,022 × 470,022
  4. Step 4: Simplify right side
    295,249x = 220,920,680,484
  5. Step 5: Solve for x
    x = 220,920,680,484/295,249
  6. Step 6: Final answer
    x = 748,252.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.