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Finding the Third Proportional to 508,696 and 754,404

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Solution

The third proportional to 508,696 and 754,404 is: 1,118,792.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,696 : 754,404 = 754,404 : x
  2. Step 2: Convert to fraction form
    508,696/754,404 = 754,404/x
  3. Step 3: Cross multiply
    508,696x = 754,404 × 754,404
  4. Step 4: Simplify right side
    508,696x = 569,125,395,216
  5. Step 5: Solve for x
    x = 569,125,395,216/508,696
  6. Step 6: Final answer
    x = 1,118,792.75

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.