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Finding the Third Proportional to 598,740 and 904,306

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Solution

The third proportional to 598,740 and 904,306 is: 1,365,817.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,740 : 904,306 = 904,306 : x
  2. Step 2: Convert to fraction form
    598,740/904,306 = 904,306/x
  3. Step 3: Cross multiply
    598,740x = 904,306 × 904,306
  4. Step 4: Simplify right side
    598,740x = 817,769,341,636
  5. Step 5: Solve for x
    x = 817,769,341,636/598,740
  6. Step 6: Final answer
    x = 1,365,817.12

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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.