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Finding the Third Proportional to 246,513.75 and 517,928.25

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Solution

The third proportional to 246,513.75 and 517,928.25 is: 1,088,173.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,513.75 : 517,928.25 = 517,928.25 : x
  2. Step 2: Convert to fraction form
    246,513.75/517,928.25 = 517,928.25/x
  3. Step 3: Cross multiply
    246,513.75x = 517,928.25 × 517,928.25
  4. Step 4: Simplify right side
    246,513.75x = 268,249,672,148.06
  5. Step 5: Solve for x
    x = 268,249,672,148.06/246,513.75
  6. Step 6: Final answer
    x = 1,088,173.26

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.