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Finding the Third Proportional to 285,066 and 451,362

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Solution

The third proportional to 285,066 and 451,362 is: 714,668.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,066 : 451,362 = 451,362 : x
  2. Step 2: Convert to fraction form
    285,066/451,362 = 451,362/x
  3. Step 3: Cross multiply
    285,066x = 451,362 × 451,362
  4. Step 4: Simplify right side
    285,066x = 203,727,655,044
  5. Step 5: Solve for x
    x = 203,727,655,044/285,066
  6. Step 6: Final answer
    x = 714,668.38

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.