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Finding the Third Proportional to 207,765 and 448,335

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Solution

The third proportional to 207,765 and 448,335 is: 967,459.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,765 : 448,335 = 448,335 : x
  2. Step 2: Convert to fraction form
    207,765/448,335 = 448,335/x
  3. Step 3: Cross multiply
    207,765x = 448,335 × 448,335
  4. Step 4: Simplify right side
    207,765x = 201,004,272,225
  5. Step 5: Solve for x
    x = 201,004,272,225/207,765
  6. Step 6: Final answer
    x = 967,459.74

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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.