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Finding the Third Proportional to 294,159 and 634,974

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Solution

The third proportional to 294,159 and 634,974 is: 1,370,660.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,159 : 634,974 = 634,974 : x
  2. Step 2: Convert to fraction form
    294,159/634,974 = 634,974/x
  3. Step 3: Cross multiply
    294,159x = 634,974 × 634,974
  4. Step 4: Simplify right side
    294,159x = 403,191,980,676
  5. Step 5: Solve for x
    x = 403,191,980,676/294,159
  6. Step 6: Final answer
    x = 1,370,660.02

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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.