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Finding the Third Proportional to 264,459 and 587,778

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Solution

The third proportional to 264,459 and 587,778 is: 1,306,376.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,459 : 587,778 = 587,778 : x
  2. Step 2: Convert to fraction form
    264,459/587,778 = 587,778/x
  3. Step 3: Cross multiply
    264,459x = 587,778 × 587,778
  4. Step 4: Simplify right side
    264,459x = 345,482,977,284
  5. Step 5: Solve for x
    x = 345,482,977,284/264,459
  6. Step 6: Final answer
    x = 1,306,376.33

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.