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Finding the Third Proportional to 388,824 and 600,468

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Solution

The third proportional to 388,824 and 600,468 is: 927,313.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,824 : 600,468 = 600,468 : x
  2. Step 2: Convert to fraction form
    388,824/600,468 = 600,468/x
  3. Step 3: Cross multiply
    388,824x = 600,468 × 600,468
  4. Step 4: Simplify right side
    388,824x = 360,561,819,024
  5. Step 5: Solve for x
    x = 360,561,819,024/388,824
  6. Step 6: Final answer
    x = 927,313.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.