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Finding the Third Proportional to 298,407 and 581,586

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Solution

The third proportional to 298,407 and 581,586 is: 1,133,493.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,407 : 581,586 = 581,586 : x
  2. Step 2: Convert to fraction form
    298,407/581,586 = 581,586/x
  3. Step 3: Cross multiply
    298,407x = 581,586 × 581,586
  4. Step 4: Simplify right side
    298,407x = 338,242,275,396
  5. Step 5: Solve for x
    x = 338,242,275,396/298,407
  6. Step 6: Final answer
    x = 1,133,493.10

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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.