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Finding the Third Proportional to 631,502 and 857,313

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Solution

The third proportional to 631,502 and 857,313 is: 1,163,868.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,502 : 857,313 = 857,313 : x
  2. Step 2: Convert to fraction form
    631,502/857,313 = 857,313/x
  3. Step 3: Cross multiply
    631,502x = 857,313 × 857,313
  4. Step 4: Simplify right side
    631,502x = 734,985,579,969
  5. Step 5: Solve for x
    x = 734,985,579,969/631,502
  6. Step 6: Final answer
    x = 1,163,868.97

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.