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Finding the Third Proportional to 382,388 and 607,330

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Solution

The third proportional to 382,388 and 607,330 is: 964,595.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,388 : 607,330 = 607,330 : x
  2. Step 2: Convert to fraction form
    382,388/607,330 = 607,330/x
  3. Step 3: Cross multiply
    382,388x = 607,330 × 607,330
  4. Step 4: Simplify right side
    382,388x = 368,849,728,900
  5. Step 5: Solve for x
    x = 368,849,728,900/382,388
  6. Step 6: Final answer
    x = 964,595.46

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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.