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Finding the Third Proportional to 519,414 and 693,585

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Solution

The third proportional to 519,414 and 693,585 is: 926,159.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,414 : 693,585 = 693,585 : x
  2. Step 2: Convert to fraction form
    519,414/693,585 = 693,585/x
  3. Step 3: Cross multiply
    519,414x = 693,585 × 693,585
  4. Step 4: Simplify right side
    519,414x = 481,060,152,225
  5. Step 5: Solve for x
    x = 481,060,152,225/519,414
  6. Step 6: Final answer
    x = 926,159.39

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.