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Finding the Third Proportional to 444,320 and 688,188

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Solution

The third proportional to 444,320 and 688,188 is: 1,065,904.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,320 : 688,188 = 688,188 : x
  2. Step 2: Convert to fraction form
    444,320/688,188 = 688,188/x
  3. Step 3: Cross multiply
    444,320x = 688,188 × 688,188
  4. Step 4: Simplify right side
    444,320x = 473,602,723,344
  5. Step 5: Solve for x
    x = 473,602,723,344/444,320
  6. Step 6: Final answer
    x = 1,065,904.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.