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Finding the Third Proportional to 310,520.63 and 467,335.88

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Solution

The third proportional to 310,520.63 and 467,335.88 is: 703,344.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,520.63 : 467,335.88 = 467,335.88 : x
  2. Step 2: Convert to fraction form
    310,520.63/467,335.88 = 467,335.88/x
  3. Step 3: Cross multiply
    310,520.63x = 467,335.88 × 467,335.88
  4. Step 4: Simplify right side
    310,520.63x = 218,402,820,062.02
  5. Step 5: Solve for x
    x = 218,402,820,062.02/310,520.63
  6. Step 6: Final answer
    x = 703,344.01

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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.