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Finding the Third Proportional to 470,620 and 707,002

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Solution

The third proportional to 470,620 and 707,002 is: 1,062,113.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,620 : 707,002 = 707,002 : x
  2. Step 2: Convert to fraction form
    470,620/707,002 = 707,002/x
  3. Step 3: Cross multiply
    470,620x = 707,002 × 707,002
  4. Step 4: Simplify right side
    470,620x = 499,851,828,004
  5. Step 5: Solve for x
    x = 499,851,828,004/470,620
  6. Step 6: Final answer
    x = 1,062,113.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.