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Finding the Third Proportional to 602,023 and 933,176

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Solution

The third proportional to 602,023 and 933,176 is: 1,446,485.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,023 : 933,176 = 933,176 : x
  2. Step 2: Convert to fraction form
    602,023/933,176 = 933,176/x
  3. Step 3: Cross multiply
    602,023x = 933,176 × 933,176
  4. Step 4: Simplify right side
    602,023x = 870,817,446,976
  5. Step 5: Solve for x
    x = 870,817,446,976/602,023
  6. Step 6: Final answer
    x = 1,446,485.35

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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.