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Finding the Third Proportional to 374,828.63 and 534,205.13

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Solution

The third proportional to 374,828.63 and 534,205.13 is: 761,348.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,828.63 : 534,205.13 = 534,205.13 : x
  2. Step 2: Convert to fraction form
    374,828.63/534,205.13 = 534,205.13/x
  3. Step 3: Cross multiply
    374,828.63x = 534,205.13 × 534,205.13
  4. Step 4: Simplify right side
    374,828.63x = 285,375,115,576.27
  5. Step 5: Solve for x
    x = 285,375,115,576.27/374,828.63
  6. Step 6: Final answer
    x = 761,348.24

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.