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Finding the Third Proportional to 268,270 and 402,437

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Solution

The third proportional to 268,270 and 402,437 is: 603,703.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,270 : 402,437 = 402,437 : x
  2. Step 2: Convert to fraction form
    268,270/402,437 = 402,437/x
  3. Step 3: Cross multiply
    268,270x = 402,437 × 402,437
  4. Step 4: Simplify right side
    268,270x = 161,955,538,969
  5. Step 5: Solve for x
    x = 161,955,538,969/268,270
  6. Step 6: Final answer
    x = 603,703.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.