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Finding the Third Proportional to 364,152 and 551,289

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Solution

The third proportional to 364,152 and 551,289 is: 834,595.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,152 : 551,289 = 551,289 : x
  2. Step 2: Convert to fraction form
    364,152/551,289 = 551,289/x
  3. Step 3: Cross multiply
    364,152x = 551,289 × 551,289
  4. Step 4: Simplify right side
    364,152x = 303,919,561,521
  5. Step 5: Solve for x
    x = 303,919,561,521/364,152
  6. Step 6: Final answer
    x = 834,595.34

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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.