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Finding the Third Proportional to 594,020 and 787,676

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Solution

The third proportional to 594,020 and 787,676 is: 1,044,465.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,020 : 787,676 = 787,676 : x
  2. Step 2: Convert to fraction form
    594,020/787,676 = 787,676/x
  3. Step 3: Cross multiply
    594,020x = 787,676 × 787,676
  4. Step 4: Simplify right side
    594,020x = 620,433,480,976
  5. Step 5: Solve for x
    x = 620,433,480,976/594,020
  6. Step 6: Final answer
    x = 1,044,465.64

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.