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Finding the Third Proportional to 310,096.69 and 466,953.19

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Solution

The third proportional to 310,096.69 and 466,953.19 is: 703,152.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,096.69 : 466,953.19 = 466,953.19 : x
  2. Step 2: Convert to fraction form
    310,096.69/466,953.19 = 466,953.19/x
  3. Step 3: Cross multiply
    310,096.69x = 466,953.19 × 466,953.19
  4. Step 4: Simplify right side
    310,096.69x = 218,045,279,316.41
  5. Step 5: Solve for x
    x = 218,045,279,316.41/310,096.69
  6. Step 6: Final answer
    x = 703,152.56

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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.