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Finding the Third Proportional to 335,732 and 520,618

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Solution

The third proportional to 335,732 and 520,618 is: 807,319.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,732 : 520,618 = 520,618 : x
  2. Step 2: Convert to fraction form
    335,732/520,618 = 520,618/x
  3. Step 3: Cross multiply
    335,732x = 520,618 × 520,618
  4. Step 4: Simplify right side
    335,732x = 271,043,101,924
  5. Step 5: Solve for x
    x = 271,043,101,924/335,732
  6. Step 6: Final answer
    x = 807,319.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.