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Finding the Third Proportional to 315,936 and 515,821.50

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Solution

The third proportional to 315,936 and 515,821.50 is: 842,170.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,936 : 515,821.50 = 515,821.50 : x
  2. Step 2: Convert to fraction form
    315,936/515,821.50 = 515,821.50/x
  3. Step 3: Cross multiply
    315,936x = 515,821.50 × 515,821.50
  4. Step 4: Simplify right side
    315,936x = 266,071,819,862.25
  5. Step 5: Solve for x
    x = 266,071,819,862.25/315,936
  6. Step 6: Final answer
    x = 842,170.00

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.