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Finding the Third Proportional to 264,066 and 565,527

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Solution

The third proportional to 264,066 and 565,527 is: 1,211,139.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,066 : 565,527 = 565,527 : x
  2. Step 2: Convert to fraction form
    264,066/565,527 = 565,527/x
  3. Step 3: Cross multiply
    264,066x = 565,527 × 565,527
  4. Step 4: Simplify right side
    264,066x = 319,820,787,729
  5. Step 5: Solve for x
    x = 319,820,787,729/264,066
  6. Step 6: Final answer
    x = 1,211,139.59

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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.