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Finding the Third Proportional to 368,280 and 540,756

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Solution

The third proportional to 368,280 and 540,756 is: 794,007.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,280 : 540,756 = 540,756 : x
  2. Step 2: Convert to fraction form
    368,280/540,756 = 540,756/x
  3. Step 3: Cross multiply
    368,280x = 540,756 × 540,756
  4. Step 4: Simplify right side
    368,280x = 292,417,051,536
  5. Step 5: Solve for x
    x = 292,417,051,536/368,280
  6. Step 6: Final answer
    x = 794,007.42

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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.