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Finding the Third Proportional to 352,980.50 and 540,071.50

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Solution

The third proportional to 352,980.50 and 540,071.50 is: 826,326.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,980.50 : 540,071.50 = 540,071.50 : x
  2. Step 2: Convert to fraction form
    352,980.50/540,071.50 = 540,071.50/x
  3. Step 3: Cross multiply
    352,980.50x = 540,071.50 × 540,071.50
  4. Step 4: Simplify right side
    352,980.50x = 291,677,225,112.25
  5. Step 5: Solve for x
    x = 291,677,225,112.25/352,980.50
  6. Step 6: Final answer
    x = 826,326.74

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.