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Finding the Third Proportional to 553,189.50 and 834,871.50

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Solution

The third proportional to 553,189.50 and 834,871.50 is: 1,259,984.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,189.50 : 834,871.50 = 834,871.50 : x
  2. Step 2: Convert to fraction form
    553,189.50/834,871.50 = 834,871.50/x
  3. Step 3: Cross multiply
    553,189.50x = 834,871.50 × 834,871.50
  4. Step 4: Simplify right side
    553,189.50x = 697,010,421,512.25
  5. Step 5: Solve for x
    x = 697,010,421,512.25/553,189.50
  6. Step 6: Final answer
    x = 1,259,984.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.