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Finding the Third Proportional to 434,036 and 952,112.50

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Solution

The third proportional to 434,036 and 952,112.50 is: 2,088,578.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,036 : 952,112.50 = 952,112.50 : x
  2. Step 2: Convert to fraction form
    434,036/952,112.50 = 952,112.50/x
  3. Step 3: Cross multiply
    434,036x = 952,112.50 × 952,112.50
  4. Step 4: Simplify right side
    434,036x = 906,518,212,656.25
  5. Step 5: Solve for x
    x = 906,518,212,656.25/434,036
  6. Step 6: Final answer
    x = 2,088,578.40

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.