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Finding the Third Proportional to 471,024 and 711,144

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Solution

The third proportional to 471,024 and 711,144 is: 1,073,673.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,024 : 711,144 = 711,144 : x
  2. Step 2: Convert to fraction form
    471,024/711,144 = 711,144/x
  3. Step 3: Cross multiply
    471,024x = 711,144 × 711,144
  4. Step 4: Simplify right side
    471,024x = 505,725,788,736
  5. Step 5: Solve for x
    x = 505,725,788,736/471,024
  6. Step 6: Final answer
    x = 1,073,673.08

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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.