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Finding the Third Proportional to 508,233 and 786,955.50

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Solution

The third proportional to 508,233 and 786,955.50 is: 1,218,533.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,233 : 786,955.50 = 786,955.50 : x
  2. Step 2: Convert to fraction form
    508,233/786,955.50 = 786,955.50/x
  3. Step 3: Cross multiply
    508,233x = 786,955.50 × 786,955.50
  4. Step 4: Simplify right side
    508,233x = 619,298,958,980.25
  5. Step 5: Solve for x
    x = 619,298,958,980.25/508,233
  6. Step 6: Final answer
    x = 1,218,533.54

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.