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Finding the Third Proportional to 295,385 and 649,816

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Solution

The third proportional to 295,385 and 649,816 is: 1,429,527.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,385 : 649,816 = 649,816 : x
  2. Step 2: Convert to fraction form
    295,385/649,816 = 649,816/x
  3. Step 3: Cross multiply
    295,385x = 649,816 × 649,816
  4. Step 4: Simplify right side
    295,385x = 422,260,833,856
  5. Step 5: Solve for x
    x = 422,260,833,856/295,385
  6. Step 6: Final answer
    x = 1,429,527.00

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.