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Finding the Third Proportional to 352,590 and 761,286

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Solution

The third proportional to 352,590 and 761,286 is: 1,643,711.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,590 : 761,286 = 761,286 : x
  2. Step 2: Convert to fraction form
    352,590/761,286 = 761,286/x
  3. Step 3: Cross multiply
    352,590x = 761,286 × 761,286
  4. Step 4: Simplify right side
    352,590x = 579,556,373,796
  5. Step 5: Solve for x
    x = 579,556,373,796/352,590
  6. Step 6: Final answer
    x = 1,643,711.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.