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Finding the Third Proportional to 236,565 and 376,609.50

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Solution

The third proportional to 236,565 and 376,609.50 is: 599,559.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,565 : 376,609.50 = 376,609.50 : x
  2. Step 2: Convert to fraction form
    236,565/376,609.50 = 376,609.50/x
  3. Step 3: Cross multiply
    236,565x = 376,609.50 × 376,609.50
  4. Step 4: Simplify right side
    236,565x = 141,834,715,490.25
  5. Step 5: Solve for x
    x = 141,834,715,490.25/236,565
  6. Step 6: Final answer
    x = 599,559.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.