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Finding the Third Proportional to 257,536.34 and 378,598.75

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Solution

The third proportional to 257,536.34 and 378,598.75 is: 556,570.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,536.34 : 378,598.75 = 378,598.75 : x
  2. Step 2: Convert to fraction form
    257,536.34/378,598.75 = 378,598.75/x
  3. Step 3: Cross multiply
    257,536.34x = 378,598.75 × 378,598.75
  4. Step 4: Simplify right side
    257,536.34x = 143,337,010,543.76
  5. Step 5: Solve for x
    x = 143,337,010,543.76/257,536.34
  6. Step 6: Final answer
    x = 556,570.05

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.