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Finding the Third Proportional to 515,921 and 700,607

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Solution

The third proportional to 515,921 and 700,607 is: 951,405.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,921 : 700,607 = 700,607 : x
  2. Step 2: Convert to fraction form
    515,921/700,607 = 700,607/x
  3. Step 3: Cross multiply
    515,921x = 700,607 × 700,607
  4. Step 4: Simplify right side
    515,921x = 490,850,168,449
  5. Step 5: Solve for x
    x = 490,850,168,449/515,921
  6. Step 6: Final answer
    x = 951,405.68

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.