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Finding the Third Proportional to 382,388 and 607,332

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Solution

The third proportional to 382,388 and 607,332 is: 964,601.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,388 : 607,332 = 607,332 : x
  2. Step 2: Convert to fraction form
    382,388/607,332 = 607,332/x
  3. Step 3: Cross multiply
    382,388x = 607,332 × 607,332
  4. Step 4: Simplify right side
    382,388x = 368,852,158,224
  5. Step 5: Solve for x
    x = 368,852,158,224/382,388
  6. Step 6: Final answer
    x = 964,601.81

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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.