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Finding the Third Proportional to 363,357 and 520,123.50

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Solution

The third proportional to 363,357 and 520,123.50 is: 744,525.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,357 : 520,123.50 = 520,123.50 : x
  2. Step 2: Convert to fraction form
    363,357/520,123.50 = 520,123.50/x
  3. Step 3: Cross multiply
    363,357x = 520,123.50 × 520,123.50
  4. Step 4: Simplify right side
    363,357x = 270,528,455,252.25
  5. Step 5: Solve for x
    x = 270,528,455,252.25/363,357
  6. Step 6: Final answer
    x = 744,525.23

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.