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Finding the Third Proportional to 365,349 and 546,539

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Solution

The third proportional to 365,349 and 546,539 is: 817,587.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,349 : 546,539 = 546,539 : x
  2. Step 2: Convert to fraction form
    365,349/546,539 = 546,539/x
  3. Step 3: Cross multiply
    365,349x = 546,539 × 546,539
  4. Step 4: Simplify right side
    365,349x = 298,704,878,521
  5. Step 5: Solve for x
    x = 298,704,878,521/365,349
  6. Step 6: Final answer
    x = 817,587.78

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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.