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Finding the Third Proportional to 429,266 and 932,348

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Solution

The third proportional to 429,266 and 932,348 is: 2,025,021.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,266 : 932,348 = 932,348 : x
  2. Step 2: Convert to fraction form
    429,266/932,348 = 932,348/x
  3. Step 3: Cross multiply
    429,266x = 932,348 × 932,348
  4. Step 4: Simplify right side
    429,266x = 869,272,793,104
  5. Step 5: Solve for x
    x = 869,272,793,104/429,266
  6. Step 6: Final answer
    x = 2,025,021.30

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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.