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Finding the Third Proportional to 246,707.44 and 512,807.63

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Solution

The third proportional to 246,707.44 and 512,807.63 is: 1,065,925.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,707.44 : 512,807.63 = 512,807.63 : x
  2. Step 2: Convert to fraction form
    246,707.44/512,807.63 = 512,807.63/x
  3. Step 3: Cross multiply
    246,707.44x = 512,807.63 × 512,807.63
  4. Step 4: Simplify right side
    246,707.44x = 262,971,660,258.14
  5. Step 5: Solve for x
    x = 262,971,660,258.14/246,707.44
  6. Step 6: Final answer
    x = 1,065,925.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.