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Finding the Third Proportional to 397,145.53 and 607,507.59

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Solution

The third proportional to 397,145.53 and 607,507.59 is: 929,295.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,145.53 : 607,507.59 = 607,507.59 : x
  2. Step 2: Convert to fraction form
    397,145.53/607,507.59 = 607,507.59/x
  3. Step 3: Cross multiply
    397,145.53x = 607,507.59 × 607,507.59
  4. Step 4: Simplify right side
    397,145.53x = 369,065,476,463.92
  5. Step 5: Solve for x
    x = 369,065,476,463.92/397,145.53
  6. Step 6: Final answer
    x = 929,295.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.