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Finding the Third Proportional to 602,936 and 933,168

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Solution

The third proportional to 602,936 and 933,168 is: 1,444,270.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,936 : 933,168 = 933,168 : x
  2. Step 2: Convert to fraction form
    602,936/933,168 = 933,168/x
  3. Step 3: Cross multiply
    602,936x = 933,168 × 933,168
  4. Step 4: Simplify right side
    602,936x = 870,802,516,224
  5. Step 5: Solve for x
    x = 870,802,516,224/602,936
  6. Step 6: Final answer
    x = 1,444,270.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.