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Finding the Third Proportional to 516,614 and 697,773

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Solution

The third proportional to 516,614 and 697,773 is: 942,458.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,614 : 697,773 = 697,773 : x
  2. Step 2: Convert to fraction form
    516,614/697,773 = 697,773/x
  3. Step 3: Cross multiply
    516,614x = 697,773 × 697,773
  4. Step 4: Simplify right side
    516,614x = 486,887,159,529
  5. Step 5: Solve for x
    x = 486,887,159,529/516,614
  6. Step 6: Final answer
    x = 942,458.31

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.