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Finding the Third Proportional to 472,046.06 and 711,988.31

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Solution

The third proportional to 472,046.06 and 711,988.31 is: 1,073,893.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,046.06 : 711,988.31 = 711,988.31 : x
  2. Step 2: Convert to fraction form
    472,046.06/711,988.31 = 711,988.31/x
  3. Step 3: Cross multiply
    472,046.06x = 711,988.31 × 711,988.31
  4. Step 4: Simplify right side
    472,046.06x = 506,927,357,136.60
  5. Step 5: Solve for x
    x = 506,927,357,136.60/472,046.06
  6. Step 6: Final answer
    x = 1,073,893.84

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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.