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Finding the Third Proportional to 391,560.75 and 623,054

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Solution

The third proportional to 391,560.75 and 623,054 is: 991,407.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,560.75 : 623,054 = 623,054 : x
  2. Step 2: Convert to fraction form
    391,560.75/623,054 = 623,054/x
  3. Step 3: Cross multiply
    391,560.75x = 623,054 × 623,054
  4. Step 4: Simplify right side
    391,560.75x = 388,196,286,916
  5. Step 5: Solve for x
    x = 388,196,286,916/391,560.75
  6. Step 6: Final answer
    x = 991,407.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.