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Finding the Third Proportional to 358,306.03 and 542,674.69

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Solution

The third proportional to 358,306.03 and 542,674.69 is: 821,911.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,306.03 : 542,674.69 = 542,674.69 : x
  2. Step 2: Convert to fraction form
    358,306.03/542,674.69 = 542,674.69/x
  3. Step 3: Cross multiply
    358,306.03x = 542,674.69 × 542,674.69
  4. Step 4: Simplify right side
    358,306.03x = 294,495,816,453.22
  5. Step 5: Solve for x
    x = 294,495,816,453.22/358,306.03
  6. Step 6: Final answer
    x = 821,911.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.