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Finding the Third Proportional to 356,468 and 759,158

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Solution

The third proportional to 356,468 and 759,158 is: 1,616,753.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,468 : 759,158 = 759,158 : x
  2. Step 2: Convert to fraction form
    356,468/759,158 = 759,158/x
  3. Step 3: Cross multiply
    356,468x = 759,158 × 759,158
  4. Step 4: Simplify right side
    356,468x = 576,320,868,964
  5. Step 5: Solve for x
    x = 576,320,868,964/356,468
  6. Step 6: Final answer
    x = 1,616,753.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.