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Finding the Third Proportional to 336,824 and 720,332

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Solution

The third proportional to 336,824 and 720,332 is: 1,540,502.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,824 : 720,332 = 720,332 : x
  2. Step 2: Convert to fraction form
    336,824/720,332 = 720,332/x
  3. Step 3: Cross multiply
    336,824x = 720,332 × 720,332
  4. Step 4: Simplify right side
    336,824x = 518,878,190,224
  5. Step 5: Solve for x
    x = 518,878,190,224/336,824
  6. Step 6: Final answer
    x = 1,540,502.43

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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.