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Finding the Third Proportional to 452,140 and 698,996

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Solution

The third proportional to 452,140 and 698,996 is: 1,080,628.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,140 : 698,996 = 698,996 : x
  2. Step 2: Convert to fraction form
    452,140/698,996 = 698,996/x
  3. Step 3: Cross multiply
    452,140x = 698,996 × 698,996
  4. Step 4: Simplify right side
    452,140x = 488,595,408,016
  5. Step 5: Solve for x
    x = 488,595,408,016/452,140
  6. Step 6: Final answer
    x = 1,080,628.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.