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Finding the Third Proportional to 470,884 and 707,366

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Solution

The third proportional to 470,884 and 707,366 is: 1,062,611.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,884 : 707,366 = 707,366 : x
  2. Step 2: Convert to fraction form
    470,884/707,366 = 707,366/x
  3. Step 3: Cross multiply
    470,884x = 707,366 × 707,366
  4. Step 4: Simplify right side
    470,884x = 500,366,657,956
  5. Step 5: Solve for x
    x = 500,366,657,956/470,884
  6. Step 6: Final answer
    x = 1,062,611.30

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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.