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Finding the Third Proportional to 237,575.25 and 479,038.50

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Solution

The third proportional to 237,575.25 and 479,038.50 is: 965,916.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,575.25 : 479,038.50 = 479,038.50 : x
  2. Step 2: Convert to fraction form
    237,575.25/479,038.50 = 479,038.50/x
  3. Step 3: Cross multiply
    237,575.25x = 479,038.50 × 479,038.50
  4. Step 4: Simplify right side
    237,575.25x = 229,477,884,482.25
  5. Step 5: Solve for x
    x = 229,477,884,482.25/237,575.25
  6. Step 6: Final answer
    x = 965,916.63

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.