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Finding the Third Proportional to 292,929 and 439,395

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Solution

The third proportional to 292,929 and 439,395 is: 659,094.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,929 : 439,395 = 439,395 : x
  2. Step 2: Convert to fraction form
    292,929/439,395 = 439,395/x
  3. Step 3: Cross multiply
    292,929x = 439,395 × 439,395
  4. Step 4: Simplify right side
    292,929x = 193,067,966,025
  5. Step 5: Solve for x
    x = 193,067,966,025/292,929
  6. Step 6: Final answer
    x = 659,094.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.