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Finding the Third Proportional to 357,438 and 552,951

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Solution

The third proportional to 357,438 and 552,951 is: 855,406.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,438 : 552,951 = 552,951 : x
  2. Step 2: Convert to fraction form
    357,438/552,951 = 552,951/x
  3. Step 3: Cross multiply
    357,438x = 552,951 × 552,951
  4. Step 4: Simplify right side
    357,438x = 305,754,808,401
  5. Step 5: Solve for x
    x = 305,754,808,401/357,438
  6. Step 6: Final answer
    x = 855,406.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.