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Finding the Third Proportional to 355,000.50 and 774,157.50

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Solution

The third proportional to 355,000.50 and 774,157.50 is: 1,688,222.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,000.50 : 774,157.50 = 774,157.50 : x
  2. Step 2: Convert to fraction form
    355,000.50/774,157.50 = 774,157.50/x
  3. Step 3: Cross multiply
    355,000.50x = 774,157.50 × 774,157.50
  4. Step 4: Simplify right side
    355,000.50x = 599,319,834,806.25
  5. Step 5: Solve for x
    x = 599,319,834,806.25/355,000.50
  6. Step 6: Final answer
    x = 1,688,222.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.