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Finding the Third Proportional to 266,683.50 and 577,633.50

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Solution

The third proportional to 266,683.50 and 577,633.50 is: 1,251,147.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,683.50 : 577,633.50 = 577,633.50 : x
  2. Step 2: Convert to fraction form
    266,683.50/577,633.50 = 577,633.50/x
  3. Step 3: Cross multiply
    266,683.50x = 577,633.50 × 577,633.50
  4. Step 4: Simplify right side
    266,683.50x = 333,660,460,322.25
  5. Step 5: Solve for x
    x = 333,660,460,322.25/266,683.50
  6. Step 6: Final answer
    x = 1,251,147.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.