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Finding the Third Proportional to 426,964 and 618,414

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Solution

The third proportional to 426,964 and 618,414 is: 895,709.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,964 : 618,414 = 618,414 : x
  2. Step 2: Convert to fraction form
    426,964/618,414 = 618,414/x
  3. Step 3: Cross multiply
    426,964x = 618,414 × 618,414
  4. Step 4: Simplify right side
    426,964x = 382,435,875,396
  5. Step 5: Solve for x
    x = 382,435,875,396/426,964
  6. Step 6: Final answer
    x = 895,709.89

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.