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Finding the Third Proportional to 515,938 and 781,696

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Solution

The third proportional to 515,938 and 781,696 is: 1,184,345.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,938 : 781,696 = 781,696 : x
  2. Step 2: Convert to fraction form
    515,938/781,696 = 781,696/x
  3. Step 3: Cross multiply
    515,938x = 781,696 × 781,696
  4. Step 4: Simplify right side
    515,938x = 611,048,636,416
  5. Step 5: Solve for x
    x = 611,048,636,416/515,938
  6. Step 6: Final answer
    x = 1,184,345.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.