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Finding the Third Proportional to 209,574 and 452,628

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Solution

The third proportional to 209,574 and 452,628 is: 977,564.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,574 : 452,628 = 452,628 : x
  2. Step 2: Convert to fraction form
    209,574/452,628 = 452,628/x
  3. Step 3: Cross multiply
    209,574x = 452,628 × 452,628
  4. Step 4: Simplify right side
    209,574x = 204,872,106,384
  5. Step 5: Solve for x
    x = 204,872,106,384/209,574
  6. Step 6: Final answer
    x = 977,564.52

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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.