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Finding the Third Proportional to 245,338.88 and 529,345.13

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Solution

The third proportional to 245,338.88 and 529,345.13 is: 1,142,119.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,338.88 : 529,345.13 = 529,345.13 : x
  2. Step 2: Convert to fraction form
    245,338.88/529,345.13 = 529,345.13/x
  3. Step 3: Cross multiply
    245,338.88x = 529,345.13 × 529,345.13
  4. Step 4: Simplify right side
    245,338.88x = 280,206,261,361.27
  5. Step 5: Solve for x
    x = 280,206,261,361.27/245,338.88
  6. Step 6: Final answer
    x = 1,142,119.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.