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Finding the Third Proportional to 535,254 and 729,048

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Solution

The third proportional to 535,254 and 729,048 is: 993,007.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,254 : 729,048 = 729,048 : x
  2. Step 2: Convert to fraction form
    535,254/729,048 = 729,048/x
  3. Step 3: Cross multiply
    535,254x = 729,048 × 729,048
  4. Step 4: Simplify right side
    535,254x = 531,510,986,304
  5. Step 5: Solve for x
    x = 531,510,986,304/535,254
  6. Step 6: Final answer
    x = 993,007.03

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.