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Finding the Third Proportional to 295,872 and 634,656

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Solution

The third proportional to 295,872 and 634,656 is: 1,361,359.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,872 : 634,656 = 634,656 : x
  2. Step 2: Convert to fraction form
    295,872/634,656 = 634,656/x
  3. Step 3: Cross multiply
    295,872x = 634,656 × 634,656
  4. Step 4: Simplify right side
    295,872x = 402,788,238,336
  5. Step 5: Solve for x
    x = 402,788,238,336/295,872
  6. Step 6: Final answer
    x = 1,361,359.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.