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Finding the Third Proportional to 336,746.74 and 711,424.27

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Solution

The third proportional to 336,746.74 and 711,424.27 is: 1,502,982.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,746.74 : 711,424.27 = 711,424.27 : x
  2. Step 2: Convert to fraction form
    336,746.74/711,424.27 = 711,424.27/x
  3. Step 3: Cross multiply
    336,746.74x = 711,424.27 × 711,424.27
  4. Step 4: Simplify right side
    336,746.74x = 506,124,485,720.07
  5. Step 5: Solve for x
    x = 506,124,485,720.07/336,746.74
  6. Step 6: Final answer
    x = 1,502,982.58

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.