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Finding the Third Proportional to 233,250 and 508,706

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Solution

The third proportional to 233,250 and 508,706 is: 1,109,461.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,250 : 508,706 = 508,706 : x
  2. Step 2: Convert to fraction form
    233,250/508,706 = 508,706/x
  3. Step 3: Cross multiply
    233,250x = 508,706 × 508,706
  4. Step 4: Simplify right side
    233,250x = 258,781,794,436
  5. Step 5: Solve for x
    x = 258,781,794,436/233,250
  6. Step 6: Final answer
    x = 1,109,461.07

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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.