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Finding the Third Proportional to 524,272.50 and 1,146,669.75

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Solution

The third proportional to 524,272.50 and 1,146,669.75 is: 2,507,954.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,272.50 : 1,146,669.75 = 1,146,669.75 : x
  2. Step 2: Convert to fraction form
    524,272.50/1,146,669.75 = 1,146,669.75/x
  3. Step 3: Cross multiply
    524,272.50x = 1,146,669.75 × 1,146,669.75
  4. Step 4: Simplify right side
    524,272.50x = 1,314,851,515,565.06
  5. Step 5: Solve for x
    x = 1,314,851,515,565.06/524,272.50
  6. Step 6: Final answer
    x = 2,507,954.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.