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Finding the Third Proportional to 355,032 and 772,756

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Solution

The third proportional to 355,032 and 772,756 is: 1,681,966.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,032 : 772,756 = 772,756 : x
  2. Step 2: Convert to fraction form
    355,032/772,756 = 772,756/x
  3. Step 3: Cross multiply
    355,032x = 772,756 × 772,756
  4. Step 4: Simplify right side
    355,032x = 597,151,835,536
  5. Step 5: Solve for x
    x = 597,151,835,536/355,032
  6. Step 6: Final answer
    x = 1,681,966.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.