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Finding the Third Proportional to 248,476.50 and 536,295

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Solution

The third proportional to 248,476.50 and 536,295 is: 1,157,503.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,476.50 : 536,295 = 536,295 : x
  2. Step 2: Convert to fraction form
    248,476.50/536,295 = 536,295/x
  3. Step 3: Cross multiply
    248,476.50x = 536,295 × 536,295
  4. Step 4: Simplify right side
    248,476.50x = 287,612,327,025
  5. Step 5: Solve for x
    x = 287,612,327,025/248,476.50
  6. Step 6: Final answer
    x = 1,157,503.13

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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.