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Finding the Third Proportional to 357,923.81 and 524,854.69

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Solution

The third proportional to 357,923.81 and 524,854.69 is: 769,639.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,923.81 : 524,854.69 = 524,854.69 : x
  2. Step 2: Convert to fraction form
    357,923.81/524,854.69 = 524,854.69/x
  3. Step 3: Cross multiply
    357,923.81x = 524,854.69 × 524,854.69
  4. Step 4: Simplify right side
    357,923.81x = 275,472,442,990.72
  5. Step 5: Solve for x
    x = 275,472,442,990.72/357,923.81
  6. Step 6: Final answer
    x = 769,639.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.