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Finding the Third Proportional to 256,243.50 and 560,748.94

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Solution

The third proportional to 256,243.50 and 560,748.94 is: 1,227,111.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,243.50 : 560,748.94 = 560,748.94 : x
  2. Step 2: Convert to fraction form
    256,243.50/560,748.94 = 560,748.94/x
  3. Step 3: Cross multiply
    256,243.50x = 560,748.94 × 560,748.94
  4. Step 4: Simplify right side
    256,243.50x = 314,439,370,907.38
  5. Step 5: Solve for x
    x = 314,439,370,907.38/256,243.50
  6. Step 6: Final answer
    x = 1,227,111.60

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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.