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Finding the Third Proportional to 432,270 and 939,291.75

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Solution

The third proportional to 432,270 and 939,291.75 is: 2,041,013.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,270 : 939,291.75 = 939,291.75 : x
  2. Step 2: Convert to fraction form
    432,270/939,291.75 = 939,291.75/x
  3. Step 3: Cross multiply
    432,270x = 939,291.75 × 939,291.75
  4. Step 4: Simplify right side
    432,270x = 882,268,991,618.06
  5. Step 5: Solve for x
    x = 882,268,991,618.06/432,270
  6. Step 6: Final answer
    x = 2,041,013.70

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.