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Finding the Third Proportional to 393,624 and 552,332

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Solution

The third proportional to 393,624 and 552,332 is: 775,030.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,624 : 552,332 = 552,332 : x
  2. Step 2: Convert to fraction form
    393,624/552,332 = 552,332/x
  3. Step 3: Cross multiply
    393,624x = 552,332 × 552,332
  4. Step 4: Simplify right side
    393,624x = 305,070,638,224
  5. Step 5: Solve for x
    x = 305,070,638,224/393,624
  6. Step 6: Final answer
    x = 775,030.58

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.