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Finding the Third Proportional to 364,116 and 745,728

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Solution

The third proportional to 364,116 and 745,728 is: 1,527,288.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,116 : 745,728 = 745,728 : x
  2. Step 2: Convert to fraction form
    364,116/745,728 = 745,728/x
  3. Step 3: Cross multiply
    364,116x = 745,728 × 745,728
  4. Step 4: Simplify right side
    364,116x = 556,110,249,984
  5. Step 5: Solve for x
    x = 556,110,249,984/364,116
  6. Step 6: Final answer
    x = 1,527,288.69

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.