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Finding the Third Proportional to 298,152.50 and 474,887.50

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Solution

The third proportional to 298,152.50 and 474,887.50 is: 756,385.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,152.50 : 474,887.50 = 474,887.50 : x
  2. Step 2: Convert to fraction form
    298,152.50/474,887.50 = 474,887.50/x
  3. Step 3: Cross multiply
    298,152.50x = 474,887.50 × 474,887.50
  4. Step 4: Simplify right side
    298,152.50x = 225,518,137,656.25
  5. Step 5: Solve for x
    x = 225,518,137,656.25/298,152.50
  6. Step 6: Final answer
    x = 756,385.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.