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Finding the Third Proportional to 306,107.72 and 482,638.50

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Solution

The third proportional to 306,107.72 and 482,638.50 is: 760,973.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,107.72 : 482,638.50 = 482,638.50 : x
  2. Step 2: Convert to fraction form
    306,107.72/482,638.50 = 482,638.50/x
  3. Step 3: Cross multiply
    306,107.72x = 482,638.50 × 482,638.50
  4. Step 4: Simplify right side
    306,107.72x = 232,939,921,682.25
  5. Step 5: Solve for x
    x = 232,939,921,682.25/306,107.72
  6. Step 6: Final answer
    x = 760,973.69

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Why These Related Problems?

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