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Finding the Third Proportional to 379,065 and 591,403.50

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Solution

The third proportional to 379,065 and 591,403.50 is: 922,686.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,065 : 591,403.50 = 591,403.50 : x
  2. Step 2: Convert to fraction form
    379,065/591,403.50 = 591,403.50/x
  3. Step 3: Cross multiply
    379,065x = 591,403.50 × 591,403.50
  4. Step 4: Simplify right side
    379,065x = 349,758,099,812.25
  5. Step 5: Solve for x
    x = 349,758,099,812.25/379,065
  6. Step 6: Final answer
    x = 922,686.35

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.