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Finding the Third Proportional to 564,397 and 874,277

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Solution

The third proportional to 564,397 and 874,277 is: 1,354,295.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,397 : 874,277 = 874,277 : x
  2. Step 2: Convert to fraction form
    564,397/874,277 = 874,277/x
  3. Step 3: Cross multiply
    564,397x = 874,277 × 874,277
  4. Step 4: Simplify right side
    564,397x = 764,360,272,729
  5. Step 5: Solve for x
    x = 764,360,272,729/564,397
  6. Step 6: Final answer
    x = 1,354,295.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.