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Finding the Third Proportional to 421,604 and 616,632

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Solution

The third proportional to 421,604 and 616,632 is: 901,877.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,604 : 616,632 = 616,632 : x
  2. Step 2: Convert to fraction form
    421,604/616,632 = 616,632/x
  3. Step 3: Cross multiply
    421,604x = 616,632 × 616,632
  4. Step 4: Simplify right side
    421,604x = 380,235,023,424
  5. Step 5: Solve for x
    x = 380,235,023,424/421,604
  6. Step 6: Final answer
    x = 901,877.17

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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.