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Finding the Third Proportional to 278,370 and 596,102.63

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Solution

The third proportional to 278,370 and 596,102.63 is: 1,276,496.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,370 : 596,102.63 = 596,102.63 : x
  2. Step 2: Convert to fraction form
    278,370/596,102.63 = 596,102.63/x
  3. Step 3: Cross multiply
    278,370x = 596,102.63 × 596,102.63
  4. Step 4: Simplify right side
    278,370x = 355,338,339,531.89
  5. Step 5: Solve for x
    x = 355,338,339,531.89/278,370
  6. Step 6: Final answer
    x = 1,276,496.53

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.