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Finding the Third Proportional to 294,156 and 634,968

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Solution

The third proportional to 294,156 and 634,968 is: 1,370,648.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,156 : 634,968 = 634,968 : x
  2. Step 2: Convert to fraction form
    294,156/634,968 = 634,968/x
  3. Step 3: Cross multiply
    294,156x = 634,968 × 634,968
  4. Step 4: Simplify right side
    294,156x = 403,184,361,024
  5. Step 5: Solve for x
    x = 403,184,361,024/294,156
  6. Step 6: Final answer
    x = 1,370,648.09

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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.