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Finding the Third Proportional to 374,521 and 529,935

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Solution

The third proportional to 374,521 and 529,935 is: 749,840.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,521 : 529,935 = 529,935 : x
  2. Step 2: Convert to fraction form
    374,521/529,935 = 529,935/x
  3. Step 3: Cross multiply
    374,521x = 529,935 × 529,935
  4. Step 4: Simplify right side
    374,521x = 280,831,104,225
  5. Step 5: Solve for x
    x = 280,831,104,225/374,521
  6. Step 6: Final answer
    x = 749,840.74

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.