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Finding the Third Proportional to 293,784 and 634,212

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Solution

The third proportional to 293,784 and 634,212 is: 1,369,117.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,784 : 634,212 = 634,212 : x
  2. Step 2: Convert to fraction form
    293,784/634,212 = 634,212/x
  3. Step 3: Cross multiply
    293,784x = 634,212 × 634,212
  4. Step 4: Simplify right side
    293,784x = 402,224,860,944
  5. Step 5: Solve for x
    x = 402,224,860,944/293,784
  6. Step 6: Final answer
    x = 1,369,117.65

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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.