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Finding the Third Proportional to 375,192 and 775,356

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Solution

The third proportional to 375,192 and 775,356 is: 1,602,318.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,192 : 775,356 = 775,356 : x
  2. Step 2: Convert to fraction form
    375,192/775,356 = 775,356/x
  3. Step 3: Cross multiply
    375,192x = 775,356 × 775,356
  4. Step 4: Simplify right side
    375,192x = 601,176,926,736
  5. Step 5: Solve for x
    x = 601,176,926,736/375,192
  6. Step 6: Final answer
    x = 1,602,318.08

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.