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Finding the Third Proportional to 347,784 and 762,240

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Solution

The third proportional to 347,784 and 762,240 is: 1,670,605.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,784 : 762,240 = 762,240 : x
  2. Step 2: Convert to fraction form
    347,784/762,240 = 762,240/x
  3. Step 3: Cross multiply
    347,784x = 762,240 × 762,240
  4. Step 4: Simplify right side
    347,784x = 581,009,817,600
  5. Step 5: Solve for x
    x = 581,009,817,600/347,784
  6. Step 6: Final answer
    x = 1,670,605.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.