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Finding the Third Proportional to 294,886.50 and 447,802.50

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Solution

The third proportional to 294,886.50 and 447,802.50 is: 680,014.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,886.50 : 447,802.50 = 447,802.50 : x
  2. Step 2: Convert to fraction form
    294,886.50/447,802.50 = 447,802.50/x
  3. Step 3: Cross multiply
    294,886.50x = 447,802.50 × 447,802.50
  4. Step 4: Simplify right side
    294,886.50x = 200,527,079,006.25
  5. Step 5: Solve for x
    x = 200,527,079,006.25/294,886.50
  6. Step 6: Final answer
    x = 680,014.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.