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Finding the Third Proportional to 545,383.13 and 733,653.07

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Solution

The third proportional to 545,383.13 and 733,653.07 is: 986,915.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,383.13 : 733,653.07 = 733,653.07 : x
  2. Step 2: Convert to fraction form
    545,383.13/733,653.07 = 733,653.07/x
  3. Step 3: Cross multiply
    545,383.13x = 733,653.07 × 733,653.07
  4. Step 4: Simplify right side
    545,383.13x = 538,246,827,578.96
  5. Step 5: Solve for x
    x = 538,246,827,578.96/545,383.13
  6. Step 6: Final answer
    x = 986,915.07

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.