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Finding the Third Proportional to 385,552 and 835,452

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Solution

The third proportional to 385,552 and 835,452 is: 1,810,339.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,552 : 835,452 = 835,452 : x
  2. Step 2: Convert to fraction form
    385,552/835,452 = 835,452/x
  3. Step 3: Cross multiply
    385,552x = 835,452 × 835,452
  4. Step 4: Simplify right side
    385,552x = 697,980,044,304
  5. Step 5: Solve for x
    x = 697,980,044,304/385,552
  6. Step 6: Final answer
    x = 1,810,339.58

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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.