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Finding the Third Proportional to 471,436 and 714,002

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Solution

The third proportional to 471,436 and 714,002 is: 1,081,374.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,436 : 714,002 = 714,002 : x
  2. Step 2: Convert to fraction form
    471,436/714,002 = 714,002/x
  3. Step 3: Cross multiply
    471,436x = 714,002 × 714,002
  4. Step 4: Simplify right side
    471,436x = 509,798,856,004
  5. Step 5: Solve for x
    x = 509,798,856,004/471,436
  6. Step 6: Final answer
    x = 1,081,374.47

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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.