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Finding the Third Proportional to 474,219.56 and 711,347.06

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Solution

The third proportional to 474,219.56 and 711,347.06 is: 1,067,047.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,219.56 : 711,347.06 = 711,347.06 : x
  2. Step 2: Convert to fraction form
    474,219.56/711,347.06 = 711,347.06/x
  3. Step 3: Cross multiply
    474,219.56x = 711,347.06 × 711,347.06
  4. Step 4: Simplify right side
    474,219.56x = 506,014,643,327.38
  5. Step 5: Solve for x
    x = 506,014,643,327.38/474,219.56
  6. Step 6: Final answer
    x = 1,067,047.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.