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Finding the Third Proportional to 923,278.50 and 1,353,024

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Solution

The third proportional to 923,278.50 and 1,353,024 is: 1,982,797.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,278.50 : 1,353,024 = 1,353,024 : x
  2. Step 2: Convert to fraction form
    923,278.50/1,353,024 = 1,353,024/x
  3. Step 3: Cross multiply
    923,278.50x = 1,353,024 × 1,353,024
  4. Step 4: Simplify right side
    923,278.50x = 1,830,673,944,576
  5. Step 5: Solve for x
    x = 1,830,673,944,576/923,278.50
  6. Step 6: Final answer
    x = 1,982,797.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.