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Finding the Third Proportional to 285,952 and 473,856

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Solution

The third proportional to 285,952 and 473,856 is: 785,234.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,952 : 473,856 = 473,856 : x
  2. Step 2: Convert to fraction form
    285,952/473,856 = 473,856/x
  3. Step 3: Cross multiply
    285,952x = 473,856 × 473,856
  4. Step 4: Simplify right side
    285,952x = 224,539,508,736
  5. Step 5: Solve for x
    x = 224,539,508,736/285,952
  6. Step 6: Final answer
    x = 785,234.97

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.