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Finding the Third Proportional to 382,392 and 607,333.50

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Solution

The third proportional to 382,392 and 607,333.50 is: 964,596.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,392 : 607,333.50 = 607,333.50 : x
  2. Step 2: Convert to fraction form
    382,392/607,333.50 = 607,333.50/x
  3. Step 3: Cross multiply
    382,392x = 607,333.50 × 607,333.50
  4. Step 4: Simplify right side
    382,392x = 368,853,980,222.25
  5. Step 5: Solve for x
    x = 368,853,980,222.25/382,392
  6. Step 6: Final answer
    x = 964,596.49

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.