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Finding the Third Proportional to 209,824 and 452,820

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Solution

The third proportional to 209,824 and 452,820 is: 977,228.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,824 : 452,820 = 452,820 : x
  2. Step 2: Convert to fraction form
    209,824/452,820 = 452,820/x
  3. Step 3: Cross multiply
    209,824x = 452,820 × 452,820
  4. Step 4: Simplify right side
    209,824x = 205,045,952,400
  5. Step 5: Solve for x
    x = 205,045,952,400/209,824
  6. Step 6: Final answer
    x = 977,228.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.