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Finding the Third Proportional to 369,996 and 797,586

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Solution

The third proportional to 369,996 and 797,586 is: 1,719,325.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,996 : 797,586 = 797,586 : x
  2. Step 2: Convert to fraction form
    369,996/797,586 = 797,586/x
  3. Step 3: Cross multiply
    369,996x = 797,586 × 797,586
  4. Step 4: Simplify right side
    369,996x = 636,143,427,396
  5. Step 5: Solve for x
    x = 636,143,427,396/369,996
  6. Step 6: Final answer
    x = 1,719,325.15

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.