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Finding the Third Proportional to 550,609.50 and 807,718.50

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Solution

The third proportional to 550,609.50 and 807,718.50 is: 1,184,885.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,609.50 : 807,718.50 = 807,718.50 : x
  2. Step 2: Convert to fraction form
    550,609.50/807,718.50 = 807,718.50/x
  3. Step 3: Cross multiply
    550,609.50x = 807,718.50 × 807,718.50
  4. Step 4: Simplify right side
    550,609.50x = 652,409,175,242.25
  5. Step 5: Solve for x
    x = 652,409,175,242.25/550,609.50
  6. Step 6: Final answer
    x = 1,184,885.43

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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.