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Finding the Third Proportional to 382,261.78 and 607,291.17

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Solution

The third proportional to 382,261.78 and 607,291.17 is: 964,790.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,261.78 : 607,291.17 = 607,291.17 : x
  2. Step 2: Convert to fraction form
    382,261.78/607,291.17 = 607,291.17/x
  3. Step 3: Cross multiply
    382,261.78x = 607,291.17 × 607,291.17
  4. Step 4: Simplify right side
    382,261.78x = 368,802,567,437.31
  5. Step 5: Solve for x
    x = 368,802,567,437.31/382,261.78
  6. Step 6: Final answer
    x = 964,790.58

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1.5x scale

Why These Related Problems?

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