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Finding the Third Proportional to 395,076 and 564,554

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Solution

The third proportional to 395,076 and 564,554 is: 806,733.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,076 : 564,554 = 564,554 : x
  2. Step 2: Convert to fraction form
    395,076/564,554 = 564,554/x
  3. Step 3: Cross multiply
    395,076x = 564,554 × 564,554
  4. Step 4: Simplify right side
    395,076x = 318,721,218,916
  5. Step 5: Solve for x
    x = 318,721,218,916/395,076
  6. Step 6: Final answer
    x = 806,733.94

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.