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Finding the Third Proportional to 302,734.50 and 684,115.50

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Solution

The third proportional to 302,734.50 and 684,115.50 is: 1,545,955.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,734.50 : 684,115.50 = 684,115.50 : x
  2. Step 2: Convert to fraction form
    302,734.50/684,115.50 = 684,115.50/x
  3. Step 3: Cross multiply
    302,734.50x = 684,115.50 × 684,115.50
  4. Step 4: Simplify right side
    302,734.50x = 468,014,017,340.25
  5. Step 5: Solve for x
    x = 468,014,017,340.25/302,734.50
  6. Step 6: Final answer
    x = 1,545,955.34

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.