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Finding the Third Proportional to 522,568 and 763,685

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Solution

The third proportional to 522,568 and 763,685 is: 1,116,055.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,568 : 763,685 = 763,685 : x
  2. Step 2: Convert to fraction form
    522,568/763,685 = 763,685/x
  3. Step 3: Cross multiply
    522,568x = 763,685 × 763,685
  4. Step 4: Simplify right side
    522,568x = 583,214,779,225
  5. Step 5: Solve for x
    x = 583,214,779,225/522,568
  6. Step 6: Final answer
    x = 1,116,055.29

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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.