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Finding the Third Proportional to 395,052 and 564,518

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Solution

The third proportional to 395,052 and 564,518 is: 806,680.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,052 : 564,518 = 564,518 : x
  2. Step 2: Convert to fraction form
    395,052/564,518 = 564,518/x
  3. Step 3: Cross multiply
    395,052x = 564,518 × 564,518
  4. Step 4: Simplify right side
    395,052x = 318,680,572,324
  5. Step 5: Solve for x
    x = 318,680,572,324/395,052
  6. Step 6: Final answer
    x = 806,680.06

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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.