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Finding the Third Proportional to 341,295 and 744,702

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Solution

The third proportional to 341,295 and 744,702 is: 1,624,931.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,295 : 744,702 = 744,702 : x
  2. Step 2: Convert to fraction form
    341,295/744,702 = 744,702/x
  3. Step 3: Cross multiply
    341,295x = 744,702 × 744,702
  4. Step 4: Simplify right side
    341,295x = 554,581,068,804
  5. Step 5: Solve for x
    x = 554,581,068,804/341,295
  6. Step 6: Final answer
    x = 1,624,931.71

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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.