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Finding the Third Proportional to 407,374 and 598,586

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Solution

The third proportional to 407,374 and 598,586 is: 879,548.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,374 : 598,586 = 598,586 : x
  2. Step 2: Convert to fraction form
    407,374/598,586 = 598,586/x
  3. Step 3: Cross multiply
    407,374x = 598,586 × 598,586
  4. Step 4: Simplify right side
    407,374x = 358,305,199,396
  5. Step 5: Solve for x
    x = 358,305,199,396/407,374
  6. Step 6: Final answer
    x = 879,548.52

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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.