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Finding the Third Proportional to 264,468 and 587,784

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Solution

The third proportional to 264,468 and 587,784 is: 1,306,358.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,468 : 587,784 = 587,784 : x
  2. Step 2: Convert to fraction form
    264,468/587,784 = 587,784/x
  3. Step 3: Cross multiply
    264,468x = 587,784 × 587,784
  4. Step 4: Simplify right side
    264,468x = 345,490,030,656
  5. Step 5: Solve for x
    x = 345,490,030,656/264,468
  6. Step 6: Final answer
    x = 1,306,358.54

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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.