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Finding the Third Proportional to 298,315 and 433,384.50

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Solution

The third proportional to 298,315 and 433,384.50 is: 629,610.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,315 : 433,384.50 = 433,384.50 : x
  2. Step 2: Convert to fraction form
    298,315/433,384.50 = 433,384.50/x
  3. Step 3: Cross multiply
    298,315x = 433,384.50 × 433,384.50
  4. Step 4: Simplify right side
    298,315x = 187,822,124,840.25
  5. Step 5: Solve for x
    x = 187,822,124,840.25/298,315
  6. Step 6: Final answer
    x = 629,610.06

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.