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Finding the Third Proportional to 302,302.13 and 659,866.50

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Solution

The third proportional to 302,302.13 and 659,866.50 is: 1,440,359.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,302.13 : 659,866.50 = 659,866.50 : x
  2. Step 2: Convert to fraction form
    302,302.13/659,866.50 = 659,866.50/x
  3. Step 3: Cross multiply
    302,302.13x = 659,866.50 × 659,866.50
  4. Step 4: Simplify right side
    302,302.13x = 435,423,797,822.25
  5. Step 5: Solve for x
    x = 435,423,797,822.25/302,302.13
  6. Step 6: Final answer
    x = 1,440,359.70

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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.