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Finding the Third Proportional to 381,726 and 604,350

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Solution

The third proportional to 381,726 and 604,350 is: 956,809.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,726 : 604,350 = 604,350 : x
  2. Step 2: Convert to fraction form
    381,726/604,350 = 604,350/x
  3. Step 3: Cross multiply
    381,726x = 604,350 × 604,350
  4. Step 4: Simplify right side
    381,726x = 365,238,922,500
  5. Step 5: Solve for x
    x = 365,238,922,500/381,726
  6. Step 6: Final answer
    x = 956,809.13

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.