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Finding the Third Proportional to 500,230 and 1,095,322

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Solution

The third proportional to 500,230 and 1,095,322 is: 2,398,357.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,230 : 1,095,322 = 1,095,322 : x
  2. Step 2: Convert to fraction form
    500,230/1,095,322 = 1,095,322/x
  3. Step 3: Cross multiply
    500,230x = 1,095,322 × 1,095,322
  4. Step 4: Simplify right side
    500,230x = 1,199,730,283,684
  5. Step 5: Solve for x
    x = 1,199,730,283,684/500,230
  6. Step 6: Final answer
    x = 2,398,357.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.