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Finding the Third Proportional to 429,413.63 and 932,820.75

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Solution

The third proportional to 429,413.63 and 932,820.75 is: 2,026,378.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,413.63 : 932,820.75 = 932,820.75 : x
  2. Step 2: Convert to fraction form
    429,413.63/932,820.75 = 932,820.75/x
  3. Step 3: Cross multiply
    429,413.63x = 932,820.75 × 932,820.75
  4. Step 4: Simplify right side
    429,413.63x = 870,154,551,630.56
  5. Step 5: Solve for x
    x = 870,154,551,630.56/429,413.63
  6. Step 6: Final answer
    x = 2,026,378.53

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.