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Finding the Third Proportional to 301,467 and 466,384.50

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Solution

The third proportional to 301,467 and 466,384.50 is: 721,520.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,467 : 466,384.50 = 466,384.50 : x
  2. Step 2: Convert to fraction form
    301,467/466,384.50 = 466,384.50/x
  3. Step 3: Cross multiply
    301,467x = 466,384.50 × 466,384.50
  4. Step 4: Simplify right side
    301,467x = 217,514,501,840.25
  5. Step 5: Solve for x
    x = 217,514,501,840.25/301,467
  6. Step 6: Final answer
    x = 721,520.11

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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.