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Finding the Third Proportional to 203,592.19 and 438,740.06

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Solution

The third proportional to 203,592.19 and 438,740.06 is: 945,482.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,592.19 : 438,740.06 = 438,740.06 : x
  2. Step 2: Convert to fraction form
    203,592.19/438,740.06 = 438,740.06/x
  3. Step 3: Cross multiply
    203,592.19x = 438,740.06 × 438,740.06
  4. Step 4: Simplify right side
    203,592.19x = 192,492,842,442.50
  5. Step 5: Solve for x
    x = 192,492,842,442.50/203,592.19
  6. Step 6: Final answer
    x = 945,482.46

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.