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Finding the Third Proportional to 233,677.50 and 508,360.50

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Solution

The third proportional to 233,677.50 and 508,360.50 is: 1,105,927.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,677.50 : 508,360.50 = 508,360.50 : x
  2. Step 2: Convert to fraction form
    233,677.50/508,360.50 = 508,360.50/x
  3. Step 3: Cross multiply
    233,677.50x = 508,360.50 × 508,360.50
  4. Step 4: Simplify right side
    233,677.50x = 258,430,397,960.25
  5. Step 5: Solve for x
    x = 258,430,397,960.25/233,677.50
  6. Step 6: Final answer
    x = 1,105,927.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.