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Finding the Third Proportional to 266,055.75 and 615,294

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Solution

The third proportional to 266,055.75 and 615,294 is: 1,422,960.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,055.75 : 615,294 = 615,294 : x
  2. Step 2: Convert to fraction form
    266,055.75/615,294 = 615,294/x
  3. Step 3: Cross multiply
    266,055.75x = 615,294 × 615,294
  4. Step 4: Simplify right side
    266,055.75x = 378,586,706,436
  5. Step 5: Solve for x
    x = 378,586,706,436/266,055.75
  6. Step 6: Final answer
    x = 1,422,960.06

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.