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Finding the Third Proportional to 235,025 and 516,706

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Solution

The third proportional to 235,025 and 516,706 is: 1,135,985.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,025 : 516,706 = 516,706 : x
  2. Step 2: Convert to fraction form
    235,025/516,706 = 516,706/x
  3. Step 3: Cross multiply
    235,025x = 516,706 × 516,706
  4. Step 4: Simplify right side
    235,025x = 266,985,090,436
  5. Step 5: Solve for x
    x = 266,985,090,436/235,025
  6. Step 6: Final answer
    x = 1,135,985.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.