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Finding the Third Proportional to 356,320 and 784,064

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Solution

The third proportional to 356,320 and 784,064 is: 1,725,292.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,320 : 784,064 = 784,064 : x
  2. Step 2: Convert to fraction form
    356,320/784,064 = 784,064/x
  3. Step 3: Cross multiply
    356,320x = 784,064 × 784,064
  4. Step 4: Simplify right side
    356,320x = 614,756,356,096
  5. Step 5: Solve for x
    x = 614,756,356,096/356,320
  6. Step 6: Final answer
    x = 1,725,292.87

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.