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Finding the Third Proportional to 365,472 and 546,696

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Solution

The third proportional to 365,472 and 546,696 is: 817,782.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,472 : 546,696 = 546,696 : x
  2. Step 2: Convert to fraction form
    365,472/546,696 = 546,696/x
  3. Step 3: Cross multiply
    365,472x = 546,696 × 546,696
  4. Step 4: Simplify right side
    365,472x = 298,876,516,416
  5. Step 5: Solve for x
    x = 298,876,516,416/365,472
  6. Step 6: Final answer
    x = 817,782.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.