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Finding the Third Proportional to 452,134 and 698,987

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Solution

The third proportional to 452,134 and 698,987 is: 1,080,615.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,134 : 698,987 = 698,987 : x
  2. Step 2: Convert to fraction form
    452,134/698,987 = 698,987/x
  3. Step 3: Cross multiply
    452,134x = 698,987 × 698,987
  4. Step 4: Simplify right side
    452,134x = 488,582,826,169
  5. Step 5: Solve for x
    x = 488,582,826,169/452,134
  6. Step 6: Final answer
    x = 1,080,615.10

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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.