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Finding the Third Proportional to 286,312.50 and 442,920

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Solution

The third proportional to 286,312.50 and 442,920 is: 685,188.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,312.50 : 442,920 = 442,920 : x
  2. Step 2: Convert to fraction form
    286,312.50/442,920 = 442,920/x
  3. Step 3: Cross multiply
    286,312.50x = 442,920 × 442,920
  4. Step 4: Simplify right side
    286,312.50x = 196,178,126,400
  5. Step 5: Solve for x
    x = 196,178,126,400/286,312.50
  6. Step 6: Final answer
    x = 685,188.83

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.