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Finding the Third Proportional to 320,262 and 498,537

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Solution

The third proportional to 320,262 and 498,537 is: 776,049.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,262 : 498,537 = 498,537 : x
  2. Step 2: Convert to fraction form
    320,262/498,537 = 498,537/x
  3. Step 3: Cross multiply
    320,262x = 498,537 × 498,537
  4. Step 4: Simplify right side
    320,262x = 248,539,140,369
  5. Step 5: Solve for x
    x = 248,539,140,369/320,262
  6. Step 6: Final answer
    x = 776,049.42

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.