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Finding the Third Proportional to 263,205 and 384,979.50

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Solution

The third proportional to 263,205 and 384,979.50 is: 563,094.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,205 : 384,979.50 = 384,979.50 : x
  2. Step 2: Convert to fraction form
    263,205/384,979.50 = 384,979.50/x
  3. Step 3: Cross multiply
    263,205x = 384,979.50 × 384,979.50
  4. Step 4: Simplify right side
    263,205x = 148,209,215,420.25
  5. Step 5: Solve for x
    x = 148,209,215,420.25/263,205
  6. Step 6: Final answer
    x = 563,094.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.