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Finding the Third Proportional to 253,528 and 543,046

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Solution

The third proportional to 253,528 and 543,046 is: 1,163,181.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,528 : 543,046 = 543,046 : x
  2. Step 2: Convert to fraction form
    253,528/543,046 = 543,046/x
  3. Step 3: Cross multiply
    253,528x = 543,046 × 543,046
  4. Step 4: Simplify right side
    253,528x = 294,898,958,116
  5. Step 5: Solve for x
    x = 294,898,958,116/253,528
  6. Step 6: Final answer
    x = 1,163,181.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.