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Finding the Third Proportional to 336,531.75 and 711,052.50

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Solution

The third proportional to 336,531.75 and 711,052.50 is: 1,502,371.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,531.75 : 711,052.50 = 711,052.50 : x
  2. Step 2: Convert to fraction form
    336,531.75/711,052.50 = 711,052.50/x
  3. Step 3: Cross multiply
    336,531.75x = 711,052.50 × 711,052.50
  4. Step 4: Simplify right side
    336,531.75x = 505,595,657,756.25
  5. Step 5: Solve for x
    x = 505,595,657,756.25/336,531.75
  6. Step 6: Final answer
    x = 1,502,371.34

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Why These Related Problems?

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