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Finding the Third Proportional to 305,503.50 and 463,336.50

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Solution

The third proportional to 305,503.50 and 463,336.50 is: 702,711.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,503.50 : 463,336.50 = 463,336.50 : x
  2. Step 2: Convert to fraction form
    305,503.50/463,336.50 = 463,336.50/x
  3. Step 3: Cross multiply
    305,503.50x = 463,336.50 × 463,336.50
  4. Step 4: Simplify right side
    305,503.50x = 214,680,712,232.25
  5. Step 5: Solve for x
    x = 214,680,712,232.25/305,503.50
  6. Step 6: Final answer
    x = 702,711.14

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.