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Finding the Third Proportional to 382,267 and 607,299

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Solution

The third proportional to 382,267 and 607,299 is: 964,802.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,267 : 607,299 = 607,299 : x
  2. Step 2: Convert to fraction form
    382,267/607,299 = 607,299/x
  3. Step 3: Cross multiply
    382,267x = 607,299 × 607,299
  4. Step 4: Simplify right side
    382,267x = 368,812,075,401
  5. Step 5: Solve for x
    x = 368,812,075,401/382,267
  6. Step 6: Final answer
    x = 964,802.29

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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.