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Finding the Third Proportional to 382,264 and 607,297

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Solution

The third proportional to 382,264 and 607,297 is: 964,803.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,264 : 607,297 = 607,297 : x
  2. Step 2: Convert to fraction form
    382,264/607,297 = 607,297/x
  3. Step 3: Cross multiply
    382,264x = 607,297 × 607,297
  4. Step 4: Simplify right side
    382,264x = 368,809,646,209
  5. Step 5: Solve for x
    x = 368,809,646,209/382,264
  6. Step 6: Final answer
    x = 964,803.50

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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.