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Finding the Third Proportional to 254,312 and 384,740

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Solution

The third proportional to 254,312 and 384,740 is: 582,060.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,312 : 384,740 = 384,740 : x
  2. Step 2: Convert to fraction form
    254,312/384,740 = 384,740/x
  3. Step 3: Cross multiply
    254,312x = 384,740 × 384,740
  4. Step 4: Simplify right side
    254,312x = 148,024,867,600
  5. Step 5: Solve for x
    x = 148,024,867,600/254,312
  6. Step 6: Final answer
    x = 582,060.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.