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Finding the Third Proportional to 511,066.13 and 767,829.38

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Solution

The third proportional to 511,066.13 and 767,829.38 is: 1,153,592.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,066.13 : 767,829.38 = 767,829.38 : x
  2. Step 2: Convert to fraction form
    511,066.13/767,829.38 = 767,829.38/x
  3. Step 3: Cross multiply
    511,066.13x = 767,829.38 × 767,829.38
  4. Step 4: Simplify right side
    511,066.13x = 589,561,949,112.89
  5. Step 5: Solve for x
    x = 589,561,949,112.89/511,066.13
  6. Step 6: Final answer
    x = 1,153,592.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.