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Finding the Third Proportional to 427,703.63 and 597,958.88

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Solution

The third proportional to 427,703.63 and 597,958.88 is: 835,987.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,703.63 : 597,958.88 = 597,958.88 : x
  2. Step 2: Convert to fraction form
    427,703.63/597,958.88 = 597,958.88/x
  3. Step 3: Cross multiply
    427,703.63x = 597,958.88 × 597,958.88
  4. Step 4: Simplify right side
    427,703.63x = 357,554,816,191.27
  5. Step 5: Solve for x
    x = 357,554,816,191.27/427,703.63
  6. Step 6: Final answer
    x = 835,987.34

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.