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Finding the Third Proportional to 700,204.50 and 1,081,390.50

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Solution

The third proportional to 700,204.50 and 1,081,390.50 is: 1,670,091.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,204.50 : 1,081,390.50 = 1,081,390.50 : x
  2. Step 2: Convert to fraction form
    700,204.50/1,081,390.50 = 1,081,390.50/x
  3. Step 3: Cross multiply
    700,204.50x = 1,081,390.50 × 1,081,390.50
  4. Step 4: Simplify right side
    700,204.50x = 1,169,405,413,490.25
  5. Step 5: Solve for x
    x = 1,169,405,413,490.25/700,204.50
  6. Step 6: Final answer
    x = 1,670,091.26

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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.