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Finding the Third Proportional to 388,388 and 832,720

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Solution

The third proportional to 388,388 and 832,720 is: 1,785,386.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,388 : 832,720 = 832,720 : x
  2. Step 2: Convert to fraction form
    388,388/832,720 = 832,720/x
  3. Step 3: Cross multiply
    388,388x = 832,720 × 832,720
  4. Step 4: Simplify right side
    388,388x = 693,422,598,400
  5. Step 5: Solve for x
    x = 693,422,598,400/388,388
  6. Step 6: Final answer
    x = 1,785,386.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.