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Finding the Third Proportional to 324,548 and 708,146

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Solution

The third proportional to 324,548 and 708,146 is: 1,545,135.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,548 : 708,146 = 708,146 : x
  2. Step 2: Convert to fraction form
    324,548/708,146 = 708,146/x
  3. Step 3: Cross multiply
    324,548x = 708,146 × 708,146
  4. Step 4: Simplify right side
    324,548x = 501,470,757,316
  5. Step 5: Solve for x
    x = 501,470,757,316/324,548
  6. Step 6: Final answer
    x = 1,545,135.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.