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Finding the Third Proportional to 472,048.88 and 711,992.25

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Solution

The third proportional to 472,048.88 and 711,992.25 is: 1,073,899.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,048.88 : 711,992.25 = 711,992.25 : x
  2. Step 2: Convert to fraction form
    472,048.88/711,992.25 = 711,992.25/x
  3. Step 3: Cross multiply
    472,048.88x = 711,992.25 × 711,992.25
  4. Step 4: Simplify right side
    472,048.88x = 506,932,964,060.06
  5. Step 5: Solve for x
    x = 506,932,964,060.06/472,048.88
  6. Step 6: Final answer
    x = 1,073,899.32

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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.