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Finding the Third Proportional to 377,527 and 829,658

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Solution

The third proportional to 377,527 and 829,658 is: 1,823,266.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,527 : 829,658 = 829,658 : x
  2. Step 2: Convert to fraction form
    377,527/829,658 = 829,658/x
  3. Step 3: Cross multiply
    377,527x = 829,658 × 829,658
  4. Step 4: Simplify right side
    377,527x = 688,332,396,964
  5. Step 5: Solve for x
    x = 688,332,396,964/377,527
  6. Step 6: Final answer
    x = 1,823,266.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.