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Finding the Third Proportional to 345,892.50 and 745,146

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Solution

The third proportional to 345,892.50 and 745,146 is: 1,605,246.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,892.50 : 745,146 = 745,146 : x
  2. Step 2: Convert to fraction form
    345,892.50/745,146 = 745,146/x
  3. Step 3: Cross multiply
    345,892.50x = 745,146 × 745,146
  4. Step 4: Simplify right side
    345,892.50x = 555,242,561,316
  5. Step 5: Solve for x
    x = 555,242,561,316/345,892.50
  6. Step 6: Final answer
    x = 1,605,246.03

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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.