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Finding the Third Proportional to 412,961.63 and 581,549.63

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Solution

The third proportional to 412,961.63 and 581,549.63 is: 818,962.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,961.63 : 581,549.63 = 581,549.63 : x
  2. Step 2: Convert to fraction form
    412,961.63/581,549.63 = 581,549.63/x
  3. Step 3: Cross multiply
    412,961.63x = 581,549.63 × 581,549.63
  4. Step 4: Simplify right side
    412,961.63x = 338,199,966,337.64
  5. Step 5: Solve for x
    x = 338,199,966,337.64/412,961.63
  6. Step 6: Final answer
    x = 818,962.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.