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Finding the Third Proportional to 356,534.50 and 534,879

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Solution

The third proportional to 356,534.50 and 534,879 is: 802,434.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,534.50 : 534,879 = 534,879 : x
  2. Step 2: Convert to fraction form
    356,534.50/534,879 = 534,879/x
  3. Step 3: Cross multiply
    356,534.50x = 534,879 × 534,879
  4. Step 4: Simplify right side
    356,534.50x = 286,095,544,641
  5. Step 5: Solve for x
    x = 286,095,544,641/356,534.50
  6. Step 6: Final answer
    x = 802,434.39

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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.