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Finding the Third Proportional to 306,113 and 714,824

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Solution

The third proportional to 306,113 and 714,824 is: 1,669,231.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,113 : 714,824 = 714,824 : x
  2. Step 2: Convert to fraction form
    306,113/714,824 = 714,824/x
  3. Step 3: Cross multiply
    306,113x = 714,824 × 714,824
  4. Step 4: Simplify right side
    306,113x = 510,973,350,976
  5. Step 5: Solve for x
    x = 510,973,350,976/306,113
  6. Step 6: Final answer
    x = 1,669,231.14

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.