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Finding the Third Proportional to 346,420 and 744,412

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Solution

The third proportional to 346,420 and 744,412 is: 1,599,645.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,420 : 744,412 = 744,412 : x
  2. Step 2: Convert to fraction form
    346,420/744,412 = 744,412/x
  3. Step 3: Cross multiply
    346,420x = 744,412 × 744,412
  4. Step 4: Simplify right side
    346,420x = 554,149,225,744
  5. Step 5: Solve for x
    x = 554,149,225,744/346,420
  6. Step 6: Final answer
    x = 1,599,645.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.