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Finding the Third Proportional to 375,480 and 782,028

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Solution

The third proportional to 375,480 and 782,028 is: 1,628,762.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,480 : 782,028 = 782,028 : x
  2. Step 2: Convert to fraction form
    375,480/782,028 = 782,028/x
  3. Step 3: Cross multiply
    375,480x = 782,028 × 782,028
  4. Step 4: Simplify right side
    375,480x = 611,567,792,784
  5. Step 5: Solve for x
    x = 611,567,792,784/375,480
  6. Step 6: Final answer
    x = 1,628,762.63

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.