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Finding the Third Proportional to 598,736 and 904,300

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Solution

The third proportional to 598,736 and 904,300 is: 1,365,808.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,736 : 904,300 = 904,300 : x
  2. Step 2: Convert to fraction form
    598,736/904,300 = 904,300/x
  3. Step 3: Cross multiply
    598,736x = 904,300 × 904,300
  4. Step 4: Simplify right side
    598,736x = 817,758,490,000
  5. Step 5: Solve for x
    x = 817,758,490,000/598,736
  6. Step 6: Final answer
    x = 1,365,808.12

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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.