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Finding the Third Proportional to 223,053 and 456,978

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Solution

The third proportional to 223,053 and 456,978 is: 936,229.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,053 : 456,978 = 456,978 : x
  2. Step 2: Convert to fraction form
    223,053/456,978 = 456,978/x
  3. Step 3: Cross multiply
    223,053x = 456,978 × 456,978
  4. Step 4: Simplify right side
    223,053x = 208,828,892,484
  5. Step 5: Solve for x
    x = 208,828,892,484/223,053
  6. Step 6: Final answer
    x = 936,229.92

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.