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Finding the Third Proportional to 298,412 and 581,594

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Solution

The third proportional to 298,412 and 581,594 is: 1,133,505.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,412 : 581,594 = 581,594 : x
  2. Step 2: Convert to fraction form
    298,412/581,594 = 581,594/x
  3. Step 3: Cross multiply
    298,412x = 581,594 × 581,594
  4. Step 4: Simplify right side
    298,412x = 338,251,580,836
  5. Step 5: Solve for x
    x = 338,251,580,836/298,412
  6. Step 6: Final answer
    x = 1,133,505.29

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.