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Finding the Third Proportional to 369,808 and 757,140

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Solution

The third proportional to 369,808 and 757,140 is: 1,550,158.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,808 : 757,140 = 757,140 : x
  2. Step 2: Convert to fraction form
    369,808/757,140 = 757,140/x
  3. Step 3: Cross multiply
    369,808x = 757,140 × 757,140
  4. Step 4: Simplify right side
    369,808x = 573,260,979,600
  5. Step 5: Solve for x
    x = 573,260,979,600/369,808
  6. Step 6: Final answer
    x = 1,550,158.41

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.