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Finding the Third Proportional to 346,860 and 757,224

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Solution

The third proportional to 346,860 and 757,224 is: 1,653,082.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,860 : 757,224 = 757,224 : x
  2. Step 2: Convert to fraction form
    346,860/757,224 = 757,224/x
  3. Step 3: Cross multiply
    346,860x = 757,224 × 757,224
  4. Step 4: Simplify right side
    346,860x = 573,388,186,176
  5. Step 5: Solve for x
    x = 573,388,186,176/346,860
  6. Step 6: Final answer
    x = 1,653,082.47

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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.