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Finding the Third Proportional to 264,716 and 566,368

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Solution

The third proportional to 264,716 and 566,368 is: 1,211,761.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,716 : 566,368 = 566,368 : x
  2. Step 2: Convert to fraction form
    264,716/566,368 = 566,368/x
  3. Step 3: Cross multiply
    264,716x = 566,368 × 566,368
  4. Step 4: Simplify right side
    264,716x = 320,772,711,424
  5. Step 5: Solve for x
    x = 320,772,711,424/264,716
  6. Step 6: Final answer
    x = 1,211,761.70

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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.