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Finding the Third Proportional to 385,944 and 830,952

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Solution

The third proportional to 385,944 and 830,952 is: 1,789,071.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,944 : 830,952 = 830,952 : x
  2. Step 2: Convert to fraction form
    385,944/830,952 = 830,952/x
  3. Step 3: Cross multiply
    385,944x = 830,952 × 830,952
  4. Step 4: Simplify right side
    385,944x = 690,481,226,304
  5. Step 5: Solve for x
    x = 690,481,226,304/385,944
  6. Step 6: Final answer
    x = 1,789,071.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.