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Finding the Third Proportional to 337,594 and 510,006

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Solution

The third proportional to 337,594 and 510,006 is: 770,470.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,594 : 510,006 = 510,006 : x
  2. Step 2: Convert to fraction form
    337,594/510,006 = 510,006/x
  3. Step 3: Cross multiply
    337,594x = 510,006 × 510,006
  4. Step 4: Simplify right side
    337,594x = 260,106,120,036
  5. Step 5: Solve for x
    x = 260,106,120,036/337,594
  6. Step 6: Final answer
    x = 770,470.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.