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Finding the Third Proportional to 363,480 and 771,024

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Solution

The third proportional to 363,480 and 771,024 is: 1,635,517.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,480 : 771,024 = 771,024 : x
  2. Step 2: Convert to fraction form
    363,480/771,024 = 771,024/x
  3. Step 3: Cross multiply
    363,480x = 771,024 × 771,024
  4. Step 4: Simplify right side
    363,480x = 594,478,008,576
  5. Step 5: Solve for x
    x = 594,478,008,576/363,480
  6. Step 6: Final answer
    x = 1,635,517.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.