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Finding the Third Proportional to 382,291.50 and 607,338

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Solution

The third proportional to 382,291.50 and 607,338 is: 964,864.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,291.50 : 607,338 = 607,338 : x
  2. Step 2: Convert to fraction form
    382,291.50/607,338 = 607,338/x
  3. Step 3: Cross multiply
    382,291.50x = 607,338 × 607,338
  4. Step 4: Simplify right side
    382,291.50x = 368,859,446,244
  5. Step 5: Solve for x
    x = 368,859,446,244/382,291.50
  6. Step 6: Final answer
    x = 964,864.37

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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.