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Finding the Third Proportional to 325,515 and 705,159

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Solution

The third proportional to 325,515 and 705,159 is: 1,527,576.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,515 : 705,159 = 705,159 : x
  2. Step 2: Convert to fraction form
    325,515/705,159 = 705,159/x
  3. Step 3: Cross multiply
    325,515x = 705,159 × 705,159
  4. Step 4: Simplify right side
    325,515x = 497,249,215,281
  5. Step 5: Solve for x
    x = 497,249,215,281/325,515
  6. Step 6: Final answer
    x = 1,527,576.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.