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Finding the Third Proportional to 516,855 and 758,272.50

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Solution

The third proportional to 516,855 and 758,272.50 is: 1,112,453.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,855 : 758,272.50 = 758,272.50 : x
  2. Step 2: Convert to fraction form
    516,855/758,272.50 = 758,272.50/x
  3. Step 3: Cross multiply
    516,855x = 758,272.50 × 758,272.50
  4. Step 4: Simplify right side
    516,855x = 574,977,184,256.25
  5. Step 5: Solve for x
    x = 574,977,184,256.25/516,855
  6. Step 6: Final answer
    x = 1,112,453.56

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.