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Finding the Third Proportional to 285,712 and 603,232

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Solution

The third proportional to 285,712 and 603,232 is: 1,273,621.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,712 : 603,232 = 603,232 : x
  2. Step 2: Convert to fraction form
    285,712/603,232 = 603,232/x
  3. Step 3: Cross multiply
    285,712x = 603,232 × 603,232
  4. Step 4: Simplify right side
    285,712x = 363,888,845,824
  5. Step 5: Solve for x
    x = 363,888,845,824/285,712
  6. Step 6: Final answer
    x = 1,273,621.15

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.