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Finding the Third Proportional to 399,308 and 603,119

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Solution

The third proportional to 399,308 and 603,119 is: 910,957.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,308 : 603,119 = 603,119 : x
  2. Step 2: Convert to fraction form
    399,308/603,119 = 603,119/x
  3. Step 3: Cross multiply
    399,308x = 603,119 × 603,119
  4. Step 4: Simplify right side
    399,308x = 363,752,528,161
  5. Step 5: Solve for x
    x = 363,752,528,161/399,308
  6. Step 6: Final answer
    x = 910,957.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.