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Finding the Third Proportional to 630,625.50 and 964,467

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Solution

The third proportional to 630,625.50 and 964,467 is: 1,475,038.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,625.50 : 964,467 = 964,467 : x
  2. Step 2: Convert to fraction form
    630,625.50/964,467 = 964,467/x
  3. Step 3: Cross multiply
    630,625.50x = 964,467 × 964,467
  4. Step 4: Simplify right side
    630,625.50x = 930,196,594,089
  5. Step 5: Solve for x
    x = 930,196,594,089/630,625.50
  6. Step 6: Final answer
    x = 1,475,038.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.