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Finding the Third Proportional to 463,207 and 976,223

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Solution

The third proportional to 463,207 and 976,223 is: 2,057,420.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,207 : 976,223 = 976,223 : x
  2. Step 2: Convert to fraction form
    463,207/976,223 = 976,223/x
  3. Step 3: Cross multiply
    463,207x = 976,223 × 976,223
  4. Step 4: Simplify right side
    463,207x = 953,011,345,729
  5. Step 5: Solve for x
    x = 953,011,345,729/463,207
  6. Step 6: Final answer
    x = 2,057,420.00

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.