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Finding the Third Proportional to 298,031 and 638,674.50

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Solution

The third proportional to 298,031 and 638,674.50 is: 1,368,666.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,031 : 638,674.50 = 638,674.50 : x
  2. Step 2: Convert to fraction form
    298,031/638,674.50 = 638,674.50/x
  3. Step 3: Cross multiply
    298,031x = 638,674.50 × 638,674.50
  4. Step 4: Simplify right side
    298,031x = 407,905,116,950.25
  5. Step 5: Solve for x
    x = 407,905,116,950.25/298,031
  6. Step 6: Final answer
    x = 1,368,666.74

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.