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Finding the Third Proportional to 413,043 and 603,708

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Solution

The third proportional to 413,043 and 603,708 is: 882,385.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,043 : 603,708 = 603,708 : x
  2. Step 2: Convert to fraction form
    413,043/603,708 = 603,708/x
  3. Step 3: Cross multiply
    413,043x = 603,708 × 603,708
  4. Step 4: Simplify right side
    413,043x = 364,463,349,264
  5. Step 5: Solve for x
    x = 364,463,349,264/413,043
  6. Step 6: Final answer
    x = 882,385.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.