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Finding the Third Proportional to 624,246 and 966,024

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Solution

The third proportional to 624,246 and 966,024 is: 1,494,927.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,246 : 966,024 = 966,024 : x
  2. Step 2: Convert to fraction form
    624,246/966,024 = 966,024/x
  3. Step 3: Cross multiply
    624,246x = 966,024 × 966,024
  4. Step 4: Simplify right side
    624,246x = 933,202,368,576
  5. Step 5: Solve for x
    x = 933,202,368,576/624,246
  6. Step 6: Final answer
    x = 1,494,927.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.