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Finding the Third Proportional to 369,073 and 767,595

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Solution

The third proportional to 369,073 and 767,595 is: 1,596,437.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,073 : 767,595 = 767,595 : x
  2. Step 2: Convert to fraction form
    369,073/767,595 = 767,595/x
  3. Step 3: Cross multiply
    369,073x = 767,595 × 767,595
  4. Step 4: Simplify right side
    369,073x = 589,202,084,025
  5. Step 5: Solve for x
    x = 589,202,084,025/369,073
  6. Step 6: Final answer
    x = 1,596,437.79

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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.