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Finding the Third Proportional to 356,284.13 and 534,893.63

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Solution

The third proportional to 356,284.13 and 534,893.63 is: 803,042.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,284.13 : 534,893.63 = 534,893.63 : x
  2. Step 2: Convert to fraction form
    356,284.13/534,893.63 = 534,893.63/x
  3. Step 3: Cross multiply
    356,284.13x = 534,893.63 × 534,893.63
  4. Step 4: Simplify right side
    356,284.13x = 286,111,190,065.64
  5. Step 5: Solve for x
    x = 286,111,190,065.64/356,284.13
  6. Step 6: Final answer
    x = 803,042.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.