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Finding the Third Proportional to 298,584 and 439,164

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Solution

The third proportional to 298,584 and 439,164 is: 645,932.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,584 : 439,164 = 439,164 : x
  2. Step 2: Convert to fraction form
    298,584/439,164 = 439,164/x
  3. Step 3: Cross multiply
    298,584x = 439,164 × 439,164
  4. Step 4: Simplify right side
    298,584x = 192,865,018,896
  5. Step 5: Solve for x
    x = 192,865,018,896/298,584
  6. Step 6: Final answer
    x = 645,932.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.