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Finding the Third Proportional to 357,930.56 and 500,674.69

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Solution

The third proportional to 357,930.56 and 500,674.69 is: 700,345.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,930.56 : 500,674.69 = 500,674.69 : x
  2. Step 2: Convert to fraction form
    357,930.56/500,674.69 = 500,674.69/x
  3. Step 3: Cross multiply
    357,930.56x = 500,674.69 × 500,674.69
  4. Step 4: Simplify right side
    357,930.56x = 250,675,142,703.22
  5. Step 5: Solve for x
    x = 250,675,142,703.22/357,930.56
  6. Step 6: Final answer
    x = 700,345.73

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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.