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Finding the Third Proportional to 452,534 and 670,973

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Solution

The third proportional to 452,534 and 670,973 is: 994,852.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,534 : 670,973 = 670,973 : x
  2. Step 2: Convert to fraction form
    452,534/670,973 = 670,973/x
  3. Step 3: Cross multiply
    452,534x = 670,973 × 670,973
  4. Step 4: Simplify right side
    452,534x = 450,204,766,729
  5. Step 5: Solve for x
    x = 450,204,766,729/452,534
  6. Step 6: Final answer
    x = 994,852.91

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.