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Finding the Third Proportional to 378,034.50 and 598,891.88

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Solution

The third proportional to 378,034.50 and 598,891.88 is: 948,779.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,034.50 : 598,891.88 = 598,891.88 : x
  2. Step 2: Convert to fraction form
    378,034.50/598,891.88 = 598,891.88/x
  3. Step 3: Cross multiply
    378,034.50x = 598,891.88 × 598,891.88
  4. Step 4: Simplify right side
    378,034.50x = 358,671,477,941.02
  5. Step 5: Solve for x
    x = 358,671,477,941.02/378,034.50
  6. Step 6: Final answer
    x = 948,779.75

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Why These Related Problems?

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