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Finding the Third Proportional to 375,357 and 781,777.50

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Solution

The third proportional to 375,357 and 781,777.50 is: 1,628,252.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,357 : 781,777.50 = 781,777.50 : x
  2. Step 2: Convert to fraction form
    375,357/781,777.50 = 781,777.50/x
  3. Step 3: Cross multiply
    375,357x = 781,777.50 × 781,777.50
  4. Step 4: Simplify right side
    375,357x = 611,176,059,506.25
  5. Step 5: Solve for x
    x = 611,176,059,506.25/375,357
  6. Step 6: Final answer
    x = 1,628,252.73

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