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Finding the Third Proportional to 336,533 and 711,054.50

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Solution

The third proportional to 336,533 and 711,054.50 is: 1,502,374.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,533 : 711,054.50 = 711,054.50 : x
  2. Step 2: Convert to fraction form
    336,533/711,054.50 = 711,054.50/x
  3. Step 3: Cross multiply
    336,533x = 711,054.50 × 711,054.50
  4. Step 4: Simplify right side
    336,533x = 505,598,501,970.25
  5. Step 5: Solve for x
    x = 505,598,501,970.25/336,533
  6. Step 6: Final answer
    x = 1,502,374.22

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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.