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Finding the Third Proportional to 235,212 and 512,724

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Solution

The third proportional to 235,212 and 512,724 is: 1,117,655.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,212 : 512,724 = 512,724 : x
  2. Step 2: Convert to fraction form
    235,212/512,724 = 512,724/x
  3. Step 3: Cross multiply
    235,212x = 512,724 × 512,724
  4. Step 4: Simplify right side
    235,212x = 262,885,900,176
  5. Step 5: Solve for x
    x = 262,885,900,176/235,212
  6. Step 6: Final answer
    x = 1,117,655.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.