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Finding the Third Proportional to 550,588 and 807,685

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Solution

The third proportional to 550,588 and 807,685 is: 1,184,833.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,588 : 807,685 = 807,685 : x
  2. Step 2: Convert to fraction form
    550,588/807,685 = 807,685/x
  3. Step 3: Cross multiply
    550,588x = 807,685 × 807,685
  4. Step 4: Simplify right side
    550,588x = 652,355,059,225
  5. Step 5: Solve for x
    x = 652,355,059,225/550,588
  6. Step 6: Final answer
    x = 1,184,833.41

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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.