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Finding the Third Proportional to 257,088 and 530,576

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Solution

The third proportional to 257,088 and 530,576 is: 1,094,998.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,088 : 530,576 = 530,576 : x
  2. Step 2: Convert to fraction form
    257,088/530,576 = 530,576/x
  3. Step 3: Cross multiply
    257,088x = 530,576 × 530,576
  4. Step 4: Simplify right side
    257,088x = 281,510,891,776
  5. Step 5: Solve for x
    x = 281,510,891,776/257,088
  6. Step 6: Final answer
    x = 1,094,998.18

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.