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Finding the Third Proportional to 411,939.56 and 623,718.56

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Solution

The third proportional to 411,939.56 and 623,718.56 is: 944,373.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,939.56 : 623,718.56 = 623,718.56 : x
  2. Step 2: Convert to fraction form
    411,939.56/623,718.56 = 623,718.56/x
  3. Step 3: Cross multiply
    411,939.56x = 623,718.56 × 623,718.56
  4. Step 4: Simplify right side
    411,939.56x = 389,024,845,207.07
  5. Step 5: Solve for x
    x = 389,024,845,207.07/411,939.56
  6. Step 6: Final answer
    x = 944,373.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.