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Finding the Third Proportional to 375,475 and 782,014

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Solution

The third proportional to 375,475 and 782,014 is: 1,628,726.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,475 : 782,014 = 782,014 : x
  2. Step 2: Convert to fraction form
    375,475/782,014 = 782,014/x
  3. Step 3: Cross multiply
    375,475x = 782,014 × 782,014
  4. Step 4: Simplify right side
    375,475x = 611,545,896,196
  5. Step 5: Solve for x
    x = 611,545,896,196/375,475
  6. Step 6: Final answer
    x = 1,628,726.00

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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.