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Finding the Third Proportional to 378,034.50 and 598,892

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Solution

The third proportional to 378,034.50 and 598,892 is: 948,780.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,034.50 : 598,892 = 598,892 : x
  2. Step 2: Convert to fraction form
    378,034.50/598,892 = 598,892/x
  3. Step 3: Cross multiply
    378,034.50x = 598,892 × 598,892
  4. Step 4: Simplify right side
    378,034.50x = 358,671,627,664
  5. Step 5: Solve for x
    x = 358,671,627,664/378,034.50
  6. Step 6: Final answer
    x = 948,780.14

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.