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Finding the Third Proportional to 306,172.41 and 482,734.69

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Solution

The third proportional to 306,172.41 and 482,734.69 is: 761,116.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,172.41 : 482,734.69 = 482,734.69 : x
  2. Step 2: Convert to fraction form
    306,172.41/482,734.69 = 482,734.69/x
  3. Step 3: Cross multiply
    306,172.41x = 482,734.69 × 482,734.69
  4. Step 4: Simplify right side
    306,172.41x = 233,032,778,515.72
  5. Step 5: Solve for x
    x = 233,032,778,515.72/306,172.41
  6. Step 6: Final answer
    x = 761,116.20

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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.