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Finding the Third Proportional to 310,089.94 and 466,949.81

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Solution

The third proportional to 310,089.94 and 466,949.81 is: 703,157.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,089.94 : 466,949.81 = 466,949.81 : x
  2. Step 2: Convert to fraction form
    310,089.94/466,949.81 = 466,949.81/x
  3. Step 3: Cross multiply
    310,089.94x = 466,949.81 × 466,949.81
  4. Step 4: Simplify right side
    310,089.94x = 218,042,127,393.79
  5. Step 5: Solve for x
    x = 218,042,127,393.79/310,089.94
  6. Step 6: Final answer
    x = 703,157.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.