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Finding the Third Proportional to 382,543.50 and 590,274

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Solution

The third proportional to 382,543.50 and 590,274 is: 910,807.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,543.50 : 590,274 = 590,274 : x
  2. Step 2: Convert to fraction form
    382,543.50/590,274 = 590,274/x
  3. Step 3: Cross multiply
    382,543.50x = 590,274 × 590,274
  4. Step 4: Simplify right side
    382,543.50x = 348,423,395,076
  5. Step 5: Solve for x
    x = 348,423,395,076/382,543.50
  6. Step 6: Final answer
    x = 910,807.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.