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Finding the Third Proportional to 310,827.38 and 574,300.13

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Solution

The third proportional to 310,827.38 and 574,300.13 is: 1,061,105.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,827.38 : 574,300.13 = 574,300.13 : x
  2. Step 2: Convert to fraction form
    310,827.38/574,300.13 = 574,300.13/x
  3. Step 3: Cross multiply
    310,827.38x = 574,300.13 × 574,300.13
  4. Step 4: Simplify right side
    310,827.38x = 329,820,633,575.02
  5. Step 5: Solve for x
    x = 329,820,633,575.02/310,827.38
  6. Step 6: Final answer
    x = 1,061,105.49

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.