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Finding the Third Proportional to 402,544.69 and 544,768.03

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Solution

The third proportional to 402,544.69 and 544,768.03 is: 737,240.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,544.69 : 544,768.03 = 544,768.03 : x
  2. Step 2: Convert to fraction form
    402,544.69/544,768.03 = 544,768.03/x
  3. Step 3: Cross multiply
    402,544.69x = 544,768.03 × 544,768.03
  4. Step 4: Simplify right side
    402,544.69x = 296,772,207,872.00
  5. Step 5: Solve for x
    x = 296,772,207,872.00/402,544.69
  6. Step 6: Final answer
    x = 737,240.40

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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.