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Finding the Third Proportional to 700,302 and 1,097,413.50

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Solution

The third proportional to 700,302 and 1,097,413.50 is: 1,719,710.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,302 : 1,097,413.50 = 1,097,413.50 : x
  2. Step 2: Convert to fraction form
    700,302/1,097,413.50 = 1,097,413.50/x
  3. Step 3: Cross multiply
    700,302x = 1,097,413.50 × 1,097,413.50
  4. Step 4: Simplify right side
    700,302x = 1,204,316,389,982.25
  5. Step 5: Solve for x
    x = 1,204,316,389,982.25/700,302
  6. Step 6: Final answer
    x = 1,719,710.05

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.