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Finding the Third Proportional to 256,344.19 and 560,955.94

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Solution

The third proportional to 256,344.19 and 560,955.94 is: 1,227,535.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,344.19 : 560,955.94 = 560,955.94 : x
  2. Step 2: Convert to fraction form
    256,344.19/560,955.94 = 560,955.94/x
  3. Step 3: Cross multiply
    256,344.19x = 560,955.94 × 560,955.94
  4. Step 4: Simplify right side
    256,344.19x = 314,671,563,816.50
  5. Step 5: Solve for x
    x = 314,671,563,816.50/256,344.19
  6. Step 6: Final answer
    x = 1,227,535.40

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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.