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Finding the Third Proportional to 652,307.63 and 1,322,965.41

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Solution

The third proportional to 652,307.63 and 1,322,965.41 is: 2,683,147.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,307.63 : 1,322,965.41 = 1,322,965.41 : x
  2. Step 2: Convert to fraction form
    652,307.63/1,322,965.41 = 1,322,965.41/x
  3. Step 3: Cross multiply
    652,307.63x = 1,322,965.41 × 1,322,965.41
  4. Step 4: Simplify right side
    652,307.63x = 1,750,237,466,134.23
  5. Step 5: Solve for x
    x = 1,750,237,466,134.23/652,307.63
  6. Step 6: Final answer
    x = 2,683,147.34

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.