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Finding the Third Proportional to 278,054 and 595,532

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Solution

The third proportional to 278,054 and 595,532 is: 1,275,501.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,054 : 595,532 = 595,532 : x
  2. Step 2: Convert to fraction form
    278,054/595,532 = 595,532/x
  3. Step 3: Cross multiply
    278,054x = 595,532 × 595,532
  4. Step 4: Simplify right side
    278,054x = 354,658,363,024
  5. Step 5: Solve for x
    x = 354,658,363,024/278,054
  6. Step 6: Final answer
    x = 1,275,501.75

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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.