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Finding the Third Proportional to 385,522 and 835,397

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Solution

The third proportional to 385,522 and 835,397 is: 1,810,242.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,522 : 835,397 = 835,397 : x
  2. Step 2: Convert to fraction form
    385,522/835,397 = 835,397/x
  3. Step 3: Cross multiply
    385,522x = 835,397 × 835,397
  4. Step 4: Simplify right side
    385,522x = 697,888,147,609
  5. Step 5: Solve for x
    x = 697,888,147,609/385,522
  6. Step 6: Final answer
    x = 1,810,242.08

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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.