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Finding the Third Proportional to 492,225.50 and 803,754.50

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Solution

The third proportional to 492,225.50 and 803,754.50 is: 1,312,449.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,225.50 : 803,754.50 = 803,754.50 : x
  2. Step 2: Convert to fraction form
    492,225.50/803,754.50 = 803,754.50/x
  3. Step 3: Cross multiply
    492,225.50x = 803,754.50 × 803,754.50
  4. Step 4: Simplify right side
    492,225.50x = 646,021,296,270.25
  5. Step 5: Solve for x
    x = 646,021,296,270.25/492,225.50
  6. Step 6: Final answer
    x = 1,312,449.88

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.