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Finding the Third Proportional to 298,425 and 462,765.50

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Solution

The third proportional to 298,425 and 462,765.50 is: 717,607.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,425 : 462,765.50 = 462,765.50 : x
  2. Step 2: Convert to fraction form
    298,425/462,765.50 = 462,765.50/x
  3. Step 3: Cross multiply
    298,425x = 462,765.50 × 462,765.50
  4. Step 4: Simplify right side
    298,425x = 214,151,907,990.25
  5. Step 5: Solve for x
    x = 214,151,907,990.25/298,425
  6. Step 6: Final answer
    x = 717,607.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.