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Finding the Third Proportional to 365,353 and 546,544

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Solution

The third proportional to 365,353 and 546,544 is: 817,593.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,353 : 546,544 = 546,544 : x
  2. Step 2: Convert to fraction form
    365,353/546,544 = 546,544/x
  3. Step 3: Cross multiply
    365,353x = 546,544 × 546,544
  4. Step 4: Simplify right side
    365,353x = 298,710,343,936
  5. Step 5: Solve for x
    x = 298,710,343,936/365,353
  6. Step 6: Final answer
    x = 817,593.79

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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.