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Finding the Third Proportional to 315,657 and 444,001.50

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Solution

The third proportional to 315,657 and 444,001.50 is: 624,530.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,657 : 444,001.50 = 444,001.50 : x
  2. Step 2: Convert to fraction form
    315,657/444,001.50 = 444,001.50/x
  3. Step 3: Cross multiply
    315,657x = 444,001.50 × 444,001.50
  4. Step 4: Simplify right side
    315,657x = 197,137,332,002.25
  5. Step 5: Solve for x
    x = 197,137,332,002.25/315,657
  6. Step 6: Final answer
    x = 624,530.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.