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Finding the Third Proportional to 235,076 and 516,804

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Solution

The third proportional to 235,076 and 516,804 is: 1,136,170.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,076 : 516,804 = 516,804 : x
  2. Step 2: Convert to fraction form
    235,076/516,804 = 516,804/x
  3. Step 3: Cross multiply
    235,076x = 516,804 × 516,804
  4. Step 4: Simplify right side
    235,076x = 267,086,374,416
  5. Step 5: Solve for x
    x = 267,086,374,416/235,076
  6. Step 6: Final answer
    x = 1,136,170.32

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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.