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Finding the Third Proportional to 467,960.63 and 710,688.94

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Solution

The third proportional to 467,960.63 and 710,688.94 is: 1,079,318.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,960.63 : 710,688.94 = 710,688.94 : x
  2. Step 2: Convert to fraction form
    467,960.63/710,688.94 = 710,688.94/x
  3. Step 3: Cross multiply
    467,960.63x = 710,688.94 × 710,688.94
  4. Step 4: Simplify right side
    467,960.63x = 505,078,765,884.88
  5. Step 5: Solve for x
    x = 505,078,765,884.88/467,960.63
  6. Step 6: Final answer
    x = 1,079,318.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.