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Finding the Third Proportional to 473,233 and 688,249

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Solution

The third proportional to 473,233 and 688,249 is: 1,000,958.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,233 : 688,249 = 688,249 : x
  2. Step 2: Convert to fraction form
    473,233/688,249 = 688,249/x
  3. Step 3: Cross multiply
    473,233x = 688,249 × 688,249
  4. Step 4: Simplify right side
    473,233x = 473,686,686,001
  5. Step 5: Solve for x
    x = 473,686,686,001/473,233
  6. Step 6: Final answer
    x = 1,000,958.69

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.