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Finding the Third Proportional to 641,781 and 997,771.50

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Solution

The third proportional to 641,781 and 997,771.50 is: 1,551,226.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,781 : 997,771.50 = 997,771.50 : x
  2. Step 2: Convert to fraction form
    641,781/997,771.50 = 997,771.50/x
  3. Step 3: Cross multiply
    641,781x = 997,771.50 × 997,771.50
  4. Step 4: Simplify right side
    641,781x = 995,547,966,212.25
  5. Step 5: Solve for x
    x = 995,547,966,212.25/641,781
  6. Step 6: Final answer
    x = 1,551,226.92

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Why These Related Problems?

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