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Finding the Third Proportional to 673,476.50 and 1,009,227.50

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Solution

The third proportional to 673,476.50 and 1,009,227.50 is: 1,512,361.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,476.50 : 1,009,227.50 = 1,009,227.50 : x
  2. Step 2: Convert to fraction form
    673,476.50/1,009,227.50 = 1,009,227.50/x
  3. Step 3: Cross multiply
    673,476.50x = 1,009,227.50 × 1,009,227.50
  4. Step 4: Simplify right side
    673,476.50x = 1,018,540,146,756.25
  5. Step 5: Solve for x
    x = 1,018,540,146,756.25/673,476.50
  6. Step 6: Final answer
    x = 1,512,361.82

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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.