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Finding the Third Proportional to 230,764 and 497,240

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Solution

The third proportional to 230,764 and 497,240 is: 1,071,430.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,764 : 497,240 = 497,240 : x
  2. Step 2: Convert to fraction form
    230,764/497,240 = 497,240/x
  3. Step 3: Cross multiply
    230,764x = 497,240 × 497,240
  4. Step 4: Simplify right side
    230,764x = 247,247,617,600
  5. Step 5: Solve for x
    x = 247,247,617,600/230,764
  6. Step 6: Final answer
    x = 1,071,430.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.