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Finding the Third Proportional to 515,940 and 781,699.50

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Solution

The third proportional to 515,940 and 781,699.50 is: 1,184,351.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,940 : 781,699.50 = 781,699.50 : x
  2. Step 2: Convert to fraction form
    515,940/781,699.50 = 781,699.50/x
  3. Step 3: Cross multiply
    515,940x = 781,699.50 × 781,699.50
  4. Step 4: Simplify right side
    515,940x = 611,054,108,300.25
  5. Step 5: Solve for x
    x = 611,054,108,300.25/515,940
  6. Step 6: Final answer
    x = 1,184,351.10

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