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Finding the Third Proportional to 233,371 and 476,597

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Solution

The third proportional to 233,371 and 476,597 is: 973,320.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,371 : 476,597 = 476,597 : x
  2. Step 2: Convert to fraction form
    233,371/476,597 = 476,597/x
  3. Step 3: Cross multiply
    233,371x = 476,597 × 476,597
  4. Step 4: Simplify right side
    233,371x = 227,144,700,409
  5. Step 5: Solve for x
    x = 227,144,700,409/233,371
  6. Step 6: Final answer
    x = 973,320.17

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.