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Finding the Third Proportional to 390,440.25 and 590,577.75

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Solution

The third proportional to 390,440.25 and 590,577.75 is: 893,304.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,440.25 : 590,577.75 = 590,577.75 : x
  2. Step 2: Convert to fraction form
    390,440.25/590,577.75 = 590,577.75/x
  3. Step 3: Cross multiply
    390,440.25x = 590,577.75 × 590,577.75
  4. Step 4: Simplify right side
    390,440.25x = 348,782,078,795.06
  5. Step 5: Solve for x
    x = 348,782,078,795.06/390,440.25
  6. Step 6: Final answer
    x = 893,304.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.