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Finding the Third Proportional to 550,962 and 807,580.13

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Solution

The third proportional to 550,962 and 807,580.13 is: 1,183,721.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,962 : 807,580.13 = 807,580.13 : x
  2. Step 2: Convert to fraction form
    550,962/807,580.13 = 807,580.13/x
  3. Step 3: Cross multiply
    550,962x = 807,580.13 × 807,580.13
  4. Step 4: Simplify right side
    550,962x = 652,185,658,295.02
  5. Step 5: Solve for x
    x = 652,185,658,295.02/550,962
  6. Step 6: Final answer
    x = 1,183,721.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.