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Finding the Third Proportional to 240,357 and 373,653

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Solution

The third proportional to 240,357 and 373,653 is: 580,871.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,357 : 373,653 = 373,653 : x
  2. Step 2: Convert to fraction form
    240,357/373,653 = 373,653/x
  3. Step 3: Cross multiply
    240,357x = 373,653 × 373,653
  4. Step 4: Simplify right side
    240,357x = 139,616,564,409
  5. Step 5: Solve for x
    x = 139,616,564,409/240,357
  6. Step 6: Final answer
    x = 580,871.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.