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Finding the Third Proportional to 207,417 and 448,050

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Solution

The third proportional to 207,417 and 448,050 is: 967,851.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,417 : 448,050 = 448,050 : x
  2. Step 2: Convert to fraction form
    207,417/448,050 = 448,050/x
  3. Step 3: Cross multiply
    207,417x = 448,050 × 448,050
  4. Step 4: Simplify right side
    207,417x = 200,748,802,500
  5. Step 5: Solve for x
    x = 200,748,802,500/207,417
  6. Step 6: Final answer
    x = 967,851.25

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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.