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Finding the Third Proportional to 338,029 and 786,024

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Solution

The third proportional to 338,029 and 786,024 is: 1,827,753.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,029 : 786,024 = 786,024 : x
  2. Step 2: Convert to fraction form
    338,029/786,024 = 786,024/x
  3. Step 3: Cross multiply
    338,029x = 786,024 × 786,024
  4. Step 4: Simplify right side
    338,029x = 617,833,728,576
  5. Step 5: Solve for x
    x = 617,833,728,576/338,029
  6. Step 6: Final answer
    x = 1,827,753.62

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.