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Finding the Third Proportional to 450,226 and 696,911

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Solution

The third proportional to 450,226 and 696,911 is: 1,078,758.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,226 : 696,911 = 696,911 : x
  2. Step 2: Convert to fraction form
    450,226/696,911 = 696,911/x
  3. Step 3: Cross multiply
    450,226x = 696,911 × 696,911
  4. Step 4: Simplify right side
    450,226x = 485,684,941,921
  5. Step 5: Solve for x
    x = 485,684,941,921/450,226
  6. Step 6: Final answer
    x = 1,078,758.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.