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Finding the Third Proportional to 407,126 and 598,525

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Solution

The third proportional to 407,126 and 598,525 is: 879,904.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,126 : 598,525 = 598,525 : x
  2. Step 2: Convert to fraction form
    407,126/598,525 = 598,525/x
  3. Step 3: Cross multiply
    407,126x = 598,525 × 598,525
  4. Step 4: Simplify right side
    407,126x = 358,232,175,625
  5. Step 5: Solve for x
    x = 358,232,175,625/407,126
  6. Step 6: Final answer
    x = 879,904.93

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