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Finding the Third Proportional to 382,281 and 607,320

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Solution

The third proportional to 382,281 and 607,320 is: 964,833.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,281 : 607,320 = 607,320 : x
  2. Step 2: Convert to fraction form
    382,281/607,320 = 607,320/x
  3. Step 3: Cross multiply
    382,281x = 607,320 × 607,320
  4. Step 4: Simplify right side
    382,281x = 368,837,582,400
  5. Step 5: Solve for x
    x = 368,837,582,400/382,281
  6. Step 6: Final answer
    x = 964,833.68

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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.