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Finding the Third Proportional to 364,658 and 552,018

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Solution

The third proportional to 364,658 and 552,018 is: 835,642.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,658 : 552,018 = 552,018 : x
  2. Step 2: Convert to fraction form
    364,658/552,018 = 552,018/x
  3. Step 3: Cross multiply
    364,658x = 552,018 × 552,018
  4. Step 4: Simplify right side
    364,658x = 304,723,872,324
  5. Step 5: Solve for x
    x = 304,723,872,324/364,658
  6. Step 6: Final answer
    x = 835,642.91

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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.