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Finding the Third Proportional to 496,307 and 742,477

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Solution

The third proportional to 496,307 and 742,477 is: 1,110,748.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,307 : 742,477 = 742,477 : x
  2. Step 2: Convert to fraction form
    496,307/742,477 = 742,477/x
  3. Step 3: Cross multiply
    496,307x = 742,477 × 742,477
  4. Step 4: Simplify right side
    496,307x = 551,272,095,529
  5. Step 5: Solve for x
    x = 551,272,095,529/496,307
  6. Step 6: Final answer
    x = 1,110,748.18

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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.