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Finding the Third Proportional to 600,237 and 915,600

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Solution

The third proportional to 600,237 and 915,600 is: 1,396,653.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,237 : 915,600 = 915,600 : x
  2. Step 2: Convert to fraction form
    600,237/915,600 = 915,600/x
  3. Step 3: Cross multiply
    600,237x = 915,600 × 915,600
  4. Step 4: Simplify right side
    600,237x = 838,323,360,000
  5. Step 5: Solve for x
    x = 838,323,360,000/600,237
  6. Step 6: Final answer
    x = 1,396,653.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.