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Finding the Third Proportional to 346,432 and 744,434

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Solution

The third proportional to 346,432 and 744,434 is: 1,599,684.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,432 : 744,434 = 744,434 : x
  2. Step 2: Convert to fraction form
    346,432/744,434 = 744,434/x
  3. Step 3: Cross multiply
    346,432x = 744,434 × 744,434
  4. Step 4: Simplify right side
    346,432x = 554,181,980,356
  5. Step 5: Solve for x
    x = 554,181,980,356/346,432
  6. Step 6: Final answer
    x = 1,599,684.73

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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.