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Finding the Third Proportional to 230,035 and 497,006

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Solution

The third proportional to 230,035 and 497,006 is: 1,073,814.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,035 : 497,006 = 497,006 : x
  2. Step 2: Convert to fraction form
    230,035/497,006 = 497,006/x
  3. Step 3: Cross multiply
    230,035x = 497,006 × 497,006
  4. Step 4: Simplify right side
    230,035x = 247,014,964,036
  5. Step 5: Solve for x
    x = 247,014,964,036/230,035
  6. Step 6: Final answer
    x = 1,073,814.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.