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Finding the Third Proportional to 364,051 and 757,154

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Solution

The third proportional to 364,051 and 757,154 is: 1,574,730.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,051 : 757,154 = 757,154 : x
  2. Step 2: Convert to fraction form
    364,051/757,154 = 757,154/x
  3. Step 3: Cross multiply
    364,051x = 757,154 × 757,154
  4. Step 4: Simplify right side
    364,051x = 573,282,179,716
  5. Step 5: Solve for x
    x = 573,282,179,716/364,051
  6. Step 6: Final answer
    x = 1,574,730.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.