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Finding the Third Proportional to 532,330 and 1,154,500

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Solution

The third proportional to 532,330 and 1,154,500 is: 2,503,842.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,330 : 1,154,500 = 1,154,500 : x
  2. Step 2: Convert to fraction form
    532,330/1,154,500 = 1,154,500/x
  3. Step 3: Cross multiply
    532,330x = 1,154,500 × 1,154,500
  4. Step 4: Simplify right side
    532,330x = 1,332,870,250,000
  5. Step 5: Solve for x
    x = 1,332,870,250,000/532,330
  6. Step 6: Final answer
    x = 2,503,842.07

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.