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Finding the Third Proportional to 520,088 and 827,500

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Solution

The third proportional to 520,088 and 827,500 is: 1,316,616.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,088 : 827,500 = 827,500 : x
  2. Step 2: Convert to fraction form
    520,088/827,500 = 827,500/x
  3. Step 3: Cross multiply
    520,088x = 827,500 × 827,500
  4. Step 4: Simplify right side
    520,088x = 684,756,250,000
  5. Step 5: Solve for x
    x = 684,756,250,000/520,088
  6. Step 6: Final answer
    x = 1,316,616.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.