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Finding the Third Proportional to 443,475 and 682,587

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Solution

The third proportional to 443,475 and 682,587 is: 1,050,622.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,475 : 682,587 = 682,587 : x
  2. Step 2: Convert to fraction form
    443,475/682,587 = 682,587/x
  3. Step 3: Cross multiply
    443,475x = 682,587 × 682,587
  4. Step 4: Simplify right side
    443,475x = 465,925,012,569
  5. Step 5: Solve for x
    x = 465,925,012,569/443,475
  6. Step 6: Final answer
    x = 1,050,622.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.