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Finding the Third Proportional to 306,112.50 and 714,821.50

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Solution

The third proportional to 306,112.50 and 714,821.50 is: 1,669,222.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,112.50 : 714,821.50 = 714,821.50 : x
  2. Step 2: Convert to fraction form
    306,112.50/714,821.50 = 714,821.50/x
  3. Step 3: Cross multiply
    306,112.50x = 714,821.50 × 714,821.50
  4. Step 4: Simplify right side
    306,112.50x = 510,969,776,862.25
  5. Step 5: Solve for x
    x = 510,969,776,862.25/306,112.50
  6. Step 6: Final answer
    x = 1,669,222.19

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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.