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Finding the Third Proportional to 427,740 and 928,332

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Solution

The third proportional to 427,740 and 928,332 is: 2,014,776.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,740 : 928,332 = 928,332 : x
  2. Step 2: Convert to fraction form
    427,740/928,332 = 928,332/x
  3. Step 3: Cross multiply
    427,740x = 928,332 × 928,332
  4. Step 4: Simplify right side
    427,740x = 861,800,302,224
  5. Step 5: Solve for x
    x = 861,800,302,224/427,740
  6. Step 6: Final answer
    x = 2,014,776.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.