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Finding the Third Proportional to 430,917.75 and 652,375.13

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Solution

The third proportional to 430,917.75 and 652,375.13 is: 987,643.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,917.75 : 652,375.13 = 652,375.13 : x
  2. Step 2: Convert to fraction form
    430,917.75/652,375.13 = 652,375.13/x
  3. Step 3: Cross multiply
    430,917.75x = 652,375.13 × 652,375.13
  4. Step 4: Simplify right side
    430,917.75x = 425,593,303,718.77
  5. Step 5: Solve for x
    x = 425,593,303,718.77/430,917.75
  6. Step 6: Final answer
    x = 987,643.94

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