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Finding the Third Proportional to 419,139 and 663,979.50

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Solution

The third proportional to 419,139 and 663,979.50 is: 1,051,843.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,139 : 663,979.50 = 663,979.50 : x
  2. Step 2: Convert to fraction form
    419,139/663,979.50 = 663,979.50/x
  3. Step 3: Cross multiply
    419,139x = 663,979.50 × 663,979.50
  4. Step 4: Simplify right side
    419,139x = 440,868,776,420.25
  5. Step 5: Solve for x
    x = 440,868,776,420.25/419,139
  6. Step 6: Final answer
    x = 1,051,843.84

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.