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Finding the Third Proportional to 266,529 and 575,734.50

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Solution

The third proportional to 266,529 and 575,734.50 is: 1,243,655.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,529 : 575,734.50 = 575,734.50 : x
  2. Step 2: Convert to fraction form
    266,529/575,734.50 = 575,734.50/x
  3. Step 3: Cross multiply
    266,529x = 575,734.50 × 575,734.50
  4. Step 4: Simplify right side
    266,529x = 331,470,214,490.25
  5. Step 5: Solve for x
    x = 331,470,214,490.25/266,529
  6. Step 6: Final answer
    x = 1,243,655.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.