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Finding the Third Proportional to 670,808.25 and 1,003,556.25

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Solution

The third proportional to 670,808.25 and 1,003,556.25 is: 1,501,360.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,808.25 : 1,003,556.25 = 1,003,556.25 : x
  2. Step 2: Convert to fraction form
    670,808.25/1,003,556.25 = 1,003,556.25/x
  3. Step 3: Cross multiply
    670,808.25x = 1,003,556.25 × 1,003,556.25
  4. Step 4: Simplify right side
    670,808.25x = 1,007,125,146,914.06
  5. Step 5: Solve for x
    x = 1,007,125,146,914.06/670,808.25
  6. Step 6: Final answer
    x = 1,501,360.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.