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Finding the Third Proportional to 580,498 and 874,167

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Solution

The third proportional to 580,498 and 874,167 is: 1,316,400.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,498 : 874,167 = 874,167 : x
  2. Step 2: Convert to fraction form
    580,498/874,167 = 874,167/x
  3. Step 3: Cross multiply
    580,498x = 874,167 × 874,167
  4. Step 4: Simplify right side
    580,498x = 764,167,943,889
  5. Step 5: Solve for x
    x = 764,167,943,889/580,498
  6. Step 6: Final answer
    x = 1,316,400.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.