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Finding the Third Proportional to 506,458.20 and 772,550.16

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Solution

The third proportional to 506,458.20 and 772,550.16 is: 1,178,446.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,458.20 : 772,550.16 = 772,550.16 : x
  2. Step 2: Convert to fraction form
    506,458.20/772,550.16 = 772,550.16/x
  3. Step 3: Cross multiply
    506,458.20x = 772,550.16 × 772,550.16
  4. Step 4: Simplify right side
    506,458.20x = 596,833,743,921.90
  5. Step 5: Solve for x
    x = 596,833,743,921.90/506,458.20
  6. Step 6: Final answer
    x = 1,178,446.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.