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Finding the Third Proportional to 369,967.50 and 769,095

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Solution

The third proportional to 369,967.50 and 769,095 is: 1,598,808.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,967.50 : 769,095 = 769,095 : x
  2. Step 2: Convert to fraction form
    369,967.50/769,095 = 769,095/x
  3. Step 3: Cross multiply
    369,967.50x = 769,095 × 769,095
  4. Step 4: Simplify right side
    369,967.50x = 591,507,119,025
  5. Step 5: Solve for x
    x = 591,507,119,025/369,967.50
  6. Step 6: Final answer
    x = 1,598,808.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.