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Finding the Third Proportional to 385,764 and 834,952

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Solution

The third proportional to 385,764 and 834,952 is: 1,807,179.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,764 : 834,952 = 834,952 : x
  2. Step 2: Convert to fraction form
    385,764/834,952 = 834,952/x
  3. Step 3: Cross multiply
    385,764x = 834,952 × 834,952
  4. Step 4: Simplify right side
    385,764x = 697,144,842,304
  5. Step 5: Solve for x
    x = 697,144,842,304/385,764
  6. Step 6: Final answer
    x = 1,807,179.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.