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Finding the Third Proportional to 390,665 and 829,292

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Solution

The third proportional to 390,665 and 829,292 is: 1,760,396.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,665 : 829,292 = 829,292 : x
  2. Step 2: Convert to fraction form
    390,665/829,292 = 829,292/x
  3. Step 3: Cross multiply
    390,665x = 829,292 × 829,292
  4. Step 4: Simplify right side
    390,665x = 687,725,221,264
  5. Step 5: Solve for x
    x = 687,725,221,264/390,665
  6. Step 6: Final answer
    x = 1,760,396.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.