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Finding the Third Proportional to 302,332.50 and 456,900.75

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Solution

The third proportional to 302,332.50 and 456,900.75 is: 690,492.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,332.50 : 456,900.75 = 456,900.75 : x
  2. Step 2: Convert to fraction form
    302,332.50/456,900.75 = 456,900.75/x
  3. Step 3: Cross multiply
    302,332.50x = 456,900.75 × 456,900.75
  4. Step 4: Simplify right side
    302,332.50x = 208,758,295,350.56
  5. Step 5: Solve for x
    x = 208,758,295,350.56/302,332.50
  6. Step 6: Final answer
    x = 690,492.41

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.