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Finding the Third Proportional to 357,263.94 and 766,332.38

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Solution

The third proportional to 357,263.94 and 766,332.38 is: 1,643,785.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,263.94 : 766,332.38 = 766,332.38 : x
  2. Step 2: Convert to fraction form
    357,263.94/766,332.38 = 766,332.38/x
  3. Step 3: Cross multiply
    357,263.94x = 766,332.38 × 766,332.38
  4. Step 4: Simplify right side
    357,263.94x = 587,265,308,973.14
  5. Step 5: Solve for x
    x = 587,265,308,973.14/357,263.94
  6. Step 6: Final answer
    x = 1,643,785.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.