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Finding the Third Proportional to 471,438 and 714,005

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Solution

The third proportional to 471,438 and 714,005 is: 1,081,378.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,438 : 714,005 = 714,005 : x
  2. Step 2: Convert to fraction form
    471,438/714,005 = 714,005/x
  3. Step 3: Cross multiply
    471,438x = 714,005 × 714,005
  4. Step 4: Simplify right side
    471,438x = 509,803,140,025
  5. Step 5: Solve for x
    x = 509,803,140,025/471,438
  6. Step 6: Final answer
    x = 1,081,378.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.