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Finding the Third Proportional to 264,076 and 565,548

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Solution

The third proportional to 264,076 and 565,548 is: 1,211,183.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,076 : 565,548 = 565,548 : x
  2. Step 2: Convert to fraction form
    264,076/565,548 = 565,548/x
  3. Step 3: Cross multiply
    264,076x = 565,548 × 565,548
  4. Step 4: Simplify right side
    264,076x = 319,844,540,304
  5. Step 5: Solve for x
    x = 319,844,540,304/264,076
  6. Step 6: Final answer
    x = 1,211,183.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.