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Finding the Third Proportional to 403,224 and 879,024

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Solution

The third proportional to 403,224 and 879,024 is: 1,916,262.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,224 : 879,024 = 879,024 : x
  2. Step 2: Convert to fraction form
    403,224/879,024 = 879,024/x
  3. Step 3: Cross multiply
    403,224x = 879,024 × 879,024
  4. Step 4: Simplify right side
    403,224x = 772,683,192,576
  5. Step 5: Solve for x
    x = 772,683,192,576/403,224
  6. Step 6: Final answer
    x = 1,916,262.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.