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Finding the Third Proportional to 296,357.50 and 423,488

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Solution

The third proportional to 296,357.50 and 423,488 is: 605,154.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,357.50 : 423,488 = 423,488 : x
  2. Step 2: Convert to fraction form
    296,357.50/423,488 = 423,488/x
  3. Step 3: Cross multiply
    296,357.50x = 423,488 × 423,488
  4. Step 4: Simplify right side
    296,357.50x = 179,342,086,144
  5. Step 5: Solve for x
    x = 179,342,086,144/296,357.50
  6. Step 6: Final answer
    x = 605,154.54

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.