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Finding the Third Proportional to 470,898 and 704,466

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Solution

The third proportional to 470,898 and 704,466 is: 1,053,885.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,898 : 704,466 = 704,466 : x
  2. Step 2: Convert to fraction form
    470,898/704,466 = 704,466/x
  3. Step 3: Cross multiply
    470,898x = 704,466 × 704,466
  4. Step 4: Simplify right side
    470,898x = 496,272,345,156
  5. Step 5: Solve for x
    x = 496,272,345,156/470,898
  6. Step 6: Final answer
    x = 1,053,885.01

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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.