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Finding the Third Proportional to 472,044.75 and 711,985.88

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Solution

The third proportional to 472,044.75 and 711,985.88 is: 1,073,889.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,044.75 : 711,985.88 = 711,985.88 : x
  2. Step 2: Convert to fraction form
    472,044.75/711,985.88 = 711,985.88/x
  3. Step 3: Cross multiply
    472,044.75x = 711,985.88 × 711,985.88
  4. Step 4: Simplify right side
    472,044.75x = 506,923,886,199.52
  5. Step 5: Solve for x
    x = 506,923,886,199.52/472,044.75
  6. Step 6: Final answer
    x = 1,073,889.47

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.