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Finding the Third Proportional to 235,228 and 555,202

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Solution

The third proportional to 235,228 and 555,202 is: 1,310,427.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,228 : 555,202 = 555,202 : x
  2. Step 2: Convert to fraction form
    235,228/555,202 = 555,202/x
  3. Step 3: Cross multiply
    235,228x = 555,202 × 555,202
  4. Step 4: Simplify right side
    235,228x = 308,249,260,804
  5. Step 5: Solve for x
    x = 308,249,260,804/235,228
  6. Step 6: Final answer
    x = 1,310,427.59

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.