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Finding the Third Proportional to 505,092 and 841,716

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Solution

The third proportional to 505,092 and 841,716 is: 1,402,686.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,092 : 841,716 = 841,716 : x
  2. Step 2: Convert to fraction form
    505,092/841,716 = 841,716/x
  3. Step 3: Cross multiply
    505,092x = 841,716 × 841,716
  4. Step 4: Simplify right side
    505,092x = 708,485,824,656
  5. Step 5: Solve for x
    x = 708,485,824,656/505,092
  6. Step 6: Final answer
    x = 1,402,686.69

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.