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Finding the Third Proportional to 452,132 and 698,984

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Solution

The third proportional to 452,132 and 698,984 is: 1,080,610.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,132 : 698,984 = 698,984 : x
  2. Step 2: Convert to fraction form
    452,132/698,984 = 698,984/x
  3. Step 3: Cross multiply
    452,132x = 698,984 × 698,984
  4. Step 4: Simplify right side
    452,132x = 488,578,632,256
  5. Step 5: Solve for x
    x = 488,578,632,256/452,132
  6. Step 6: Final answer
    x = 1,080,610.60

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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.