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Finding the Third Proportional to 302,123.25 and 658,192.50

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Solution

The third proportional to 302,123.25 and 658,192.50 is: 1,433,909.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,123.25 : 658,192.50 = 658,192.50 : x
  2. Step 2: Convert to fraction form
    302,123.25/658,192.50 = 658,192.50/x
  3. Step 3: Cross multiply
    302,123.25x = 658,192.50 × 658,192.50
  4. Step 4: Simplify right side
    302,123.25x = 433,217,367,056.25
  5. Step 5: Solve for x
    x = 433,217,367,056.25/302,123.25
  6. Step 6: Final answer
    x = 1,433,909.40

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.