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Finding the Third Proportional to 337,154 and 717,224

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Solution

The third proportional to 337,154 and 717,224 is: 1,525,742.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,154 : 717,224 = 717,224 : x
  2. Step 2: Convert to fraction form
    337,154/717,224 = 717,224/x
  3. Step 3: Cross multiply
    337,154x = 717,224 × 717,224
  4. Step 4: Simplify right side
    337,154x = 514,410,266,176
  5. Step 5: Solve for x
    x = 514,410,266,176/337,154
  6. Step 6: Final answer
    x = 1,525,742.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.