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Finding the Third Proportional to 237,618 and 514,020

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Solution

The third proportional to 237,618 and 514,020 is: 1,111,938.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,618 : 514,020 = 514,020 : x
  2. Step 2: Convert to fraction form
    237,618/514,020 = 514,020/x
  3. Step 3: Cross multiply
    237,618x = 514,020 × 514,020
  4. Step 4: Simplify right side
    237,618x = 264,216,560,400
  5. Step 5: Solve for x
    x = 264,216,560,400/237,618
  6. Step 6: Final answer
    x = 1,111,938.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.