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Finding the Third Proportional to 518,512 and 697,416

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Solution

The third proportional to 518,512 and 697,416 is: 938,047.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,512 : 697,416 = 697,416 : x
  2. Step 2: Convert to fraction form
    518,512/697,416 = 697,416/x
  3. Step 3: Cross multiply
    518,512x = 697,416 × 697,416
  4. Step 4: Simplify right side
    518,512x = 486,389,077,056
  5. Step 5: Solve for x
    x = 486,389,077,056/518,512
  6. Step 6: Final answer
    x = 938,047.87

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.