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Finding the Third Proportional to 302,000.50 and 442,850

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Solution

The third proportional to 302,000.50 and 442,850 is: 649,390.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,000.50 : 442,850 = 442,850 : x
  2. Step 2: Convert to fraction form
    302,000.50/442,850 = 442,850/x
  3. Step 3: Cross multiply
    302,000.50x = 442,850 × 442,850
  4. Step 4: Simplify right side
    302,000.50x = 196,116,122,500
  5. Step 5: Solve for x
    x = 196,116,122,500/302,000.50
  6. Step 6: Final answer
    x = 649,390.06

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.