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Finding the Third Proportional to 535,155 and 733,848.75

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Solution

The third proportional to 535,155 and 733,848.75 is: 1,006,314.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,155 : 733,848.75 = 733,848.75 : x
  2. Step 2: Convert to fraction form
    535,155/733,848.75 = 733,848.75/x
  3. Step 3: Cross multiply
    535,155x = 733,848.75 × 733,848.75
  4. Step 4: Simplify right side
    535,155x = 538,533,987,876.56
  5. Step 5: Solve for x
    x = 538,533,987,876.56/535,155
  6. Step 6: Final answer
    x = 1,006,314.04

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.