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Finding the Third Proportional to 366,823.69 and 546,852.52

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Solution

The third proportional to 366,823.69 and 546,852.52 is: 815,235.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,823.69 : 546,852.52 = 546,852.52 : x
  2. Step 2: Convert to fraction form
    366,823.69/546,852.52 = 546,852.52/x
  3. Step 3: Cross multiply
    366,823.69x = 546,852.52 × 546,852.52
  4. Step 4: Simplify right side
    366,823.69x = 299,047,673,845.39
  5. Step 5: Solve for x
    x = 299,047,673,845.39/366,823.69
  6. Step 6: Final answer
    x = 815,235.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.