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Finding the Third Proportional to 313,312 and 576,322

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Solution

The third proportional to 313,312 and 576,322 is: 1,060,115.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,312 : 576,322 = 576,322 : x
  2. Step 2: Convert to fraction form
    313,312/576,322 = 576,322/x
  3. Step 3: Cross multiply
    313,312x = 576,322 × 576,322
  4. Step 4: Simplify right side
    313,312x = 332,147,047,684
  5. Step 5: Solve for x
    x = 332,147,047,684/313,312
  6. Step 6: Final answer
    x = 1,060,115.95

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.