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Finding the Third Proportional to 501,064.50 and 1,169,367.38

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Solution

The third proportional to 501,064.50 and 1,169,367.38 is: 2,729,030.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,064.50 : 1,169,367.38 = 1,169,367.38 : x
  2. Step 2: Convert to fraction form
    501,064.50/1,169,367.38 = 1,169,367.38/x
  3. Step 3: Cross multiply
    501,064.50x = 1,169,367.38 × 1,169,367.38
  4. Step 4: Simplify right side
    501,064.50x = 1,367,420,057,714.39
  5. Step 5: Solve for x
    x = 1,367,420,057,714.39/501,064.50
  6. Step 6: Final answer
    x = 2,729,030.01

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.