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Finding the Third Proportional to 505,067 and 841,678.50

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Solution

The third proportional to 505,067 and 841,678.50 is: 1,402,631.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,067 : 841,678.50 = 841,678.50 : x
  2. Step 2: Convert to fraction form
    505,067/841,678.50 = 841,678.50/x
  3. Step 3: Cross multiply
    505,067x = 841,678.50 × 841,678.50
  4. Step 4: Simplify right side
    505,067x = 708,422,697,362.25
  5. Step 5: Solve for x
    x = 708,422,697,362.25/505,067
  6. Step 6: Final answer
    x = 1,402,631.13

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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.