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Finding the Third Proportional to 267,322 and 556,688

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Solution

The third proportional to 267,322 and 556,688 is: 1,159,281.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,322 : 556,688 = 556,688 : x
  2. Step 2: Convert to fraction form
    267,322/556,688 = 556,688/x
  3. Step 3: Cross multiply
    267,322x = 556,688 × 556,688
  4. Step 4: Simplify right side
    267,322x = 309,901,529,344
  5. Step 5: Solve for x
    x = 309,901,529,344/267,322
  6. Step 6: Final answer
    x = 1,159,281.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.