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Finding the Third Proportional to 364,998 and 546,036

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Solution

The third proportional to 364,998 and 546,036 is: 816,868.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,998 : 546,036 = 546,036 : x
  2. Step 2: Convert to fraction form
    364,998/546,036 = 546,036/x
  3. Step 3: Cross multiply
    364,998x = 546,036 × 546,036
  4. Step 4: Simplify right side
    364,998x = 298,155,313,296
  5. Step 5: Solve for x
    x = 298,155,313,296/364,998
  6. Step 6: Final answer
    x = 816,868.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.