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Finding the Third Proportional to 262,075.50 and 561,502.13

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Solution

The third proportional to 262,075.50 and 561,502.13 is: 1,203,029.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,075.50 : 561,502.13 = 561,502.13 : x
  2. Step 2: Convert to fraction form
    262,075.50/561,502.13 = 561,502.13/x
  3. Step 3: Cross multiply
    262,075.50x = 561,502.13 × 561,502.13
  4. Step 4: Simplify right side
    262,075.50x = 315,284,636,379.52
  5. Step 5: Solve for x
    x = 315,284,636,379.52/262,075.50
  6. Step 6: Final answer
    x = 1,203,029.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.