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Finding the Third Proportional to 369,248 and 869,351

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Solution

The third proportional to 369,248 and 869,351 is: 2,046,784.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,248 : 869,351 = 869,351 : x
  2. Step 2: Convert to fraction form
    369,248/869,351 = 869,351/x
  3. Step 3: Cross multiply
    369,248x = 869,351 × 869,351
  4. Step 4: Simplify right side
    369,248x = 755,771,161,201
  5. Step 5: Solve for x
    x = 755,771,161,201/369,248
  6. Step 6: Final answer
    x = 2,046,784.71

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.