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Finding the Third Proportional to 544,024 and 816,510

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Solution

The third proportional to 544,024 and 816,510 is: 1,225,476.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,024 : 816,510 = 816,510 : x
  2. Step 2: Convert to fraction form
    544,024/816,510 = 816,510/x
  3. Step 3: Cross multiply
    544,024x = 816,510 × 816,510
  4. Step 4: Simplify right side
    544,024x = 666,688,580,100
  5. Step 5: Solve for x
    x = 666,688,580,100/544,024
  6. Step 6: Final answer
    x = 1,225,476.41

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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.