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Finding the Third Proportional to 230,036 and 497,008

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Solution

The third proportional to 230,036 and 497,008 is: 1,073,818.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,036 : 497,008 = 497,008 : x
  2. Step 2: Convert to fraction form
    230,036/497,008 = 497,008/x
  3. Step 3: Cross multiply
    230,036x = 497,008 × 497,008
  4. Step 4: Simplify right side
    230,036x = 247,016,952,064
  5. Step 5: Solve for x
    x = 247,016,952,064/230,036
  6. Step 6: Final answer
    x = 1,073,818.67

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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.