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Finding the Third Proportional to 260,068.50 and 540,756

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Solution

The third proportional to 260,068.50 and 540,756 is: 1,124,384.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,068.50 : 540,756 = 540,756 : x
  2. Step 2: Convert to fraction form
    260,068.50/540,756 = 540,756/x
  3. Step 3: Cross multiply
    260,068.50x = 540,756 × 540,756
  4. Step 4: Simplify right side
    260,068.50x = 292,417,051,536
  5. Step 5: Solve for x
    x = 292,417,051,536/260,068.50
  6. Step 6: Final answer
    x = 1,124,384.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.