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Finding the Third Proportional to 235,306 and 555,037

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Solution

The third proportional to 235,306 and 555,037 is: 1,309,214.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,306 : 555,037 = 555,037 : x
  2. Step 2: Convert to fraction form
    235,306/555,037 = 555,037/x
  3. Step 3: Cross multiply
    235,306x = 555,037 × 555,037
  4. Step 4: Simplify right side
    235,306x = 308,066,071,369
  5. Step 5: Solve for x
    x = 308,066,071,369/235,306
  6. Step 6: Final answer
    x = 1,309,214.69

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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.