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Finding the Third Proportional to 341,298 and 744,803

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Solution

The third proportional to 341,298 and 744,803 is: 1,625,358.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,298 : 744,803 = 744,803 : x
  2. Step 2: Convert to fraction form
    341,298/744,803 = 744,803/x
  3. Step 3: Cross multiply
    341,298x = 744,803 × 744,803
  4. Step 4: Simplify right side
    341,298x = 554,731,508,809
  5. Step 5: Solve for x
    x = 554,731,508,809/341,298
  6. Step 6: Final answer
    x = 1,625,358.22

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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.