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Finding the Third Proportional to 550,611 and 725,638.50

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Solution

The third proportional to 550,611 and 725,638.50 is: 956,303.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,611 : 725,638.50 = 725,638.50 : x
  2. Step 2: Convert to fraction form
    550,611/725,638.50 = 725,638.50/x
  3. Step 3: Cross multiply
    550,611x = 725,638.50 × 725,638.50
  4. Step 4: Simplify right side
    550,611x = 526,551,232,682.25
  5. Step 5: Solve for x
    x = 526,551,232,682.25/550,611
  6. Step 6: Final answer
    x = 956,303.51

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.