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Finding the Third Proportional to 549,601 and 874,270

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Solution

The third proportional to 549,601 and 874,270 is: 1,390,732.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,601 : 874,270 = 874,270 : x
  2. Step 2: Convert to fraction form
    549,601/874,270 = 874,270/x
  3. Step 3: Cross multiply
    549,601x = 874,270 × 874,270
  4. Step 4: Simplify right side
    549,601x = 764,348,032,900
  5. Step 5: Solve for x
    x = 764,348,032,900/549,601
  6. Step 6: Final answer
    x = 1,390,732.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.