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Finding the Third Proportional to 347,788 and 762,248

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Solution

The third proportional to 347,788 and 762,248 is: 1,670,621.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,788 : 762,248 = 762,248 : x
  2. Step 2: Convert to fraction form
    347,788/762,248 = 762,248/x
  3. Step 3: Cross multiply
    347,788x = 762,248 × 762,248
  4. Step 4: Simplify right side
    347,788x = 581,022,013,504
  5. Step 5: Solve for x
    x = 581,022,013,504/347,788
  6. Step 6: Final answer
    x = 1,670,621.22

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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.