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Finding the Third Proportional to 334,237.50 and 517,770

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Solution

The third proportional to 334,237.50 and 517,770 is: 802,081.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,237.50 : 517,770 = 517,770 : x
  2. Step 2: Convert to fraction form
    334,237.50/517,770 = 517,770/x
  3. Step 3: Cross multiply
    334,237.50x = 517,770 × 517,770
  4. Step 4: Simplify right side
    334,237.50x = 268,085,772,900
  5. Step 5: Solve for x
    x = 268,085,772,900/334,237.50
  6. Step 6: Final answer
    x = 802,081.67

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.