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Finding the Third Proportional to 369,063 and 802,095

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Solution

The third proportional to 369,063 and 802,095 is: 1,743,215.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,063 : 802,095 = 802,095 : x
  2. Step 2: Convert to fraction form
    369,063/802,095 = 802,095/x
  3. Step 3: Cross multiply
    369,063x = 802,095 × 802,095
  4. Step 4: Simplify right side
    369,063x = 643,356,389,025
  5. Step 5: Solve for x
    x = 643,356,389,025/369,063
  6. Step 6: Final answer
    x = 1,743,215.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.