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Finding the Third Proportional to 248,832 and 385,924.50

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Solution

The third proportional to 248,832 and 385,924.50 is: 598,547.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,832 : 385,924.50 = 385,924.50 : x
  2. Step 2: Convert to fraction form
    248,832/385,924.50 = 385,924.50/x
  3. Step 3: Cross multiply
    248,832x = 385,924.50 × 385,924.50
  4. Step 4: Simplify right side
    248,832x = 148,937,719,700.25
  5. Step 5: Solve for x
    x = 148,937,719,700.25/248,832
  6. Step 6: Final answer
    x = 598,547.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.