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Finding the Third Proportional to 385,044 and 834,240

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Solution

The third proportional to 385,044 and 834,240 is: 1,807,472.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,044 : 834,240 = 834,240 : x
  2. Step 2: Convert to fraction form
    385,044/834,240 = 834,240/x
  3. Step 3: Cross multiply
    385,044x = 834,240 × 834,240
  4. Step 4: Simplify right side
    385,044x = 695,956,377,600
  5. Step 5: Solve for x
    x = 695,956,377,600/385,044
  6. Step 6: Final answer
    x = 1,807,472.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.