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Finding the Third Proportional to 402,308 and 863,030

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Solution

The third proportional to 402,308 and 863,030 is: 1,851,369.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,308 : 863,030 = 863,030 : x
  2. Step 2: Convert to fraction form
    402,308/863,030 = 863,030/x
  3. Step 3: Cross multiply
    402,308x = 863,030 × 863,030
  4. Step 4: Simplify right side
    402,308x = 744,820,780,900
  5. Step 5: Solve for x
    x = 744,820,780,900/402,308
  6. Step 6: Final answer
    x = 1,851,369.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.