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Finding the Third Proportional to 470,906 and 704,478

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Solution

The third proportional to 470,906 and 704,478 is: 1,053,903.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,906 : 704,478 = 704,478 : x
  2. Step 2: Convert to fraction form
    470,906/704,478 = 704,478/x
  3. Step 3: Cross multiply
    470,906x = 704,478 × 704,478
  4. Step 4: Simplify right side
    470,906x = 496,289,252,484
  5. Step 5: Solve for x
    x = 496,289,252,484/470,906
  6. Step 6: Final answer
    x = 1,053,903.01

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Why These Related Problems?

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