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Finding the Third Proportional to 283,821.75 and 473,017.50

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Solution

The third proportional to 283,821.75 and 473,017.50 is: 788,331.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,821.75 : 473,017.50 = 473,017.50 : x
  2. Step 2: Convert to fraction form
    283,821.75/473,017.50 = 473,017.50/x
  3. Step 3: Cross multiply
    283,821.75x = 473,017.50 × 473,017.50
  4. Step 4: Simplify right side
    283,821.75x = 223,745,555,306.25
  5. Step 5: Solve for x
    x = 223,745,555,306.25/283,821.75
  6. Step 6: Final answer
    x = 788,331.25

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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.