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Finding the Third Proportional to 240,769 and 373,326

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Solution

The third proportional to 240,769 and 373,326 is: 578,863.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,769 : 373,326 = 373,326 : x
  2. Step 2: Convert to fraction form
    240,769/373,326 = 373,326/x
  3. Step 3: Cross multiply
    240,769x = 373,326 × 373,326
  4. Step 4: Simplify right side
    240,769x = 139,372,302,276
  5. Step 5: Solve for x
    x = 139,372,302,276/240,769
  6. Step 6: Final answer
    x = 578,863.15

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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.