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Finding the Third Proportional to 645,465 and 995,413.50

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Solution

The third proportional to 645,465 and 995,413.50 is: 1,535,091.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,465 : 995,413.50 = 995,413.50 : x
  2. Step 2: Convert to fraction form
    645,465/995,413.50 = 995,413.50/x
  3. Step 3: Cross multiply
    645,465x = 995,413.50 × 995,413.50
  4. Step 4: Simplify right side
    645,465x = 990,848,035,982.25
  5. Step 5: Solve for x
    x = 990,848,035,982.25/645,465
  6. Step 6: Final answer
    x = 1,535,091.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.