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Finding the Third Proportional to 283,856 and 473,072

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Solution

The third proportional to 283,856 and 473,072 is: 788,417.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,856 : 473,072 = 473,072 : x
  2. Step 2: Convert to fraction form
    283,856/473,072 = 473,072/x
  3. Step 3: Cross multiply
    283,856x = 473,072 × 473,072
  4. Step 4: Simplify right side
    283,856x = 223,797,117,184
  5. Step 5: Solve for x
    x = 223,797,117,184/283,856
  6. Step 6: Final answer
    x = 788,417.78

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.