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Finding the Third Proportional to 337,864 and 534,948

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Solution

The third proportional to 337,864 and 534,948 is: 846,995.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,864 : 534,948 = 534,948 : x
  2. Step 2: Convert to fraction form
    337,864/534,948 = 534,948/x
  3. Step 3: Cross multiply
    337,864x = 534,948 × 534,948
  4. Step 4: Simplify right side
    337,864x = 286,169,362,704
  5. Step 5: Solve for x
    x = 286,169,362,704/337,864
  6. Step 6: Final answer
    x = 846,995.72

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.