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Finding the Third Proportional to 335,898 and 507,087

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Solution

The third proportional to 335,898 and 507,087 is: 765,521.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,898 : 507,087 = 507,087 : x
  2. Step 2: Convert to fraction form
    335,898/507,087 = 507,087/x
  3. Step 3: Cross multiply
    335,898x = 507,087 × 507,087
  4. Step 4: Simplify right side
    335,898x = 257,137,225,569
  5. Step 5: Solve for x
    x = 257,137,225,569/335,898
  6. Step 6: Final answer
    x = 765,521.75

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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.