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Finding the Third Proportional to 522,566 and 763,684

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Solution

The third proportional to 522,566 and 763,684 is: 1,116,056.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,566 : 763,684 = 763,684 : x
  2. Step 2: Convert to fraction form
    522,566/763,684 = 763,684/x
  3. Step 3: Cross multiply
    522,566x = 763,684 × 763,684
  4. Step 4: Simplify right side
    522,566x = 583,213,251,856
  5. Step 5: Solve for x
    x = 583,213,251,856/522,566
  6. Step 6: Final answer
    x = 1,116,056.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.