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Finding the Third Proportional to 356,536 and 534,881

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Solution

The third proportional to 356,536 and 534,881 is: 802,437.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,536 : 534,881 = 534,881 : x
  2. Step 2: Convert to fraction form
    356,536/534,881 = 534,881/x
  3. Step 3: Cross multiply
    356,536x = 534,881 × 534,881
  4. Step 4: Simplify right side
    356,536x = 286,097,684,161
  5. Step 5: Solve for x
    x = 286,097,684,161/356,536
  6. Step 6: Final answer
    x = 802,437.02

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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.