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Finding the Third Proportional to 474,246 and 723,411

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Solution

The third proportional to 474,246 and 723,411 is: 1,103,485.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,246 : 723,411 = 723,411 : x
  2. Step 2: Convert to fraction form
    474,246/723,411 = 723,411/x
  3. Step 3: Cross multiply
    474,246x = 723,411 × 723,411
  4. Step 4: Simplify right side
    474,246x = 523,323,474,921
  5. Step 5: Solve for x
    x = 523,323,474,921/474,246
  6. Step 6: Final answer
    x = 1,103,485.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.