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Finding the Third Proportional to 515,106 and 787,968

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Solution

The third proportional to 515,106 and 787,968 is: 1,205,370.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,106 : 787,968 = 787,968 : x
  2. Step 2: Convert to fraction form
    515,106/787,968 = 787,968/x
  3. Step 3: Cross multiply
    515,106x = 787,968 × 787,968
  4. Step 4: Simplify right side
    515,106x = 620,893,569,024
  5. Step 5: Solve for x
    x = 620,893,569,024/515,106
  6. Step 6: Final answer
    x = 1,205,370.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.