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Finding the Third Proportional to 525,798 and 858,502

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Solution

The third proportional to 525,798 and 858,502 is: 1,401,727.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,798 : 858,502 = 858,502 : x
  2. Step 2: Convert to fraction form
    525,798/858,502 = 858,502/x
  3. Step 3: Cross multiply
    525,798x = 858,502 × 858,502
  4. Step 4: Simplify right side
    525,798x = 737,025,684,004
  5. Step 5: Solve for x
    x = 737,025,684,004/525,798
  6. Step 6: Final answer
    x = 1,401,727.82

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.