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Finding the Third Proportional to 550,457 and 850,734.50

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Solution

The third proportional to 550,457 and 850,734.50 is: 1,314,815.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,457 : 850,734.50 = 850,734.50 : x
  2. Step 2: Convert to fraction form
    550,457/850,734.50 = 850,734.50/x
  3. Step 3: Cross multiply
    550,457x = 850,734.50 × 850,734.50
  4. Step 4: Simplify right side
    550,457x = 723,749,189,490.25
  5. Step 5: Solve for x
    x = 723,749,189,490.25/550,457
  6. Step 6: Final answer
    x = 1,314,815.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.