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Finding the Third Proportional to 1,358 and 1,412

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Solution

The third proportional to 1,358 and 1,412 is: 1,468.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358 : 1,412 = 1,412 : x
  2. Step 2: Convert to fraction form
    1,358/1,412 = 1,412/x
  3. Step 3: Cross multiply
    1,358x = 1,412 × 1,412
  4. Step 4: Simplify right side
    1,358x = 1,993,744
  5. Step 5: Solve for x
    x = 1,993,744/1,358
  6. Step 6: Final answer
    x = 1,468.15

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Why These Related Problems?

These problems maintain the same ratio (1.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.