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Finding the Third Proportional to 306,157.22 and 482,715.70

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Solution

The third proportional to 306,157.22 and 482,715.70 is: 761,094.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,157.22 : 482,715.70 = 482,715.70 : x
  2. Step 2: Convert to fraction form
    306,157.22/482,715.70 = 482,715.70/x
  3. Step 3: Cross multiply
    306,157.22x = 482,715.70 × 482,715.70
  4. Step 4: Simplify right side
    306,157.22x = 233,014,450,043.46
  5. Step 5: Solve for x
    x = 233,014,450,043.46/306,157.22
  6. Step 6: Final answer
    x = 761,094.09

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.