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Finding the Third Proportional to 524,179.05 and 1,146,499.52

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Solution

The third proportional to 524,179.05 and 1,146,499.52 is: 2,507,656.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,179.05 : 1,146,499.52 = 1,146,499.52 : x
  2. Step 2: Convert to fraction form
    524,179.05/1,146,499.52 = 1,146,499.52/x
  3. Step 3: Cross multiply
    524,179.05x = 1,146,499.52 × 1,146,499.52
  4. Step 4: Simplify right side
    524,179.05x = 1,314,461,157,242.41
  5. Step 5: Solve for x
    x = 1,314,461,157,242.41/524,179.05
  6. Step 6: Final answer
    x = 2,507,656.77

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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.