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Finding the Third Proportional to 331,087 and 524,618

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Solution

The third proportional to 331,087 and 524,618 is: 831,274.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,087 : 524,618 = 524,618 : x
  2. Step 2: Convert to fraction form
    331,087/524,618 = 524,618/x
  3. Step 3: Cross multiply
    331,087x = 524,618 × 524,618
  4. Step 4: Simplify right side
    331,087x = 275,224,045,924
  5. Step 5: Solve for x
    x = 275,224,045,924/331,087
  6. Step 6: Final answer
    x = 831,274.09

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.