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Finding the Third Proportional to 404,664 and 604,220

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Solution

The third proportional to 404,664 and 604,220 is: 902,185.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,664 : 604,220 = 604,220 : x
  2. Step 2: Convert to fraction form
    404,664/604,220 = 604,220/x
  3. Step 3: Cross multiply
    404,664x = 604,220 × 604,220
  4. Step 4: Simplify right side
    404,664x = 365,081,808,400
  5. Step 5: Solve for x
    x = 365,081,808,400/404,664
  6. Step 6: Final answer
    x = 902,185.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.