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Finding the Third Proportional to 251,046 and 384,585

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Solution

The third proportional to 251,046 and 384,585 is: 589,157.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,046 : 384,585 = 384,585 : x
  2. Step 2: Convert to fraction form
    251,046/384,585 = 384,585/x
  3. Step 3: Cross multiply
    251,046x = 384,585 × 384,585
  4. Step 4: Simplify right side
    251,046x = 147,905,622,225
  5. Step 5: Solve for x
    x = 147,905,622,225/251,046
  6. Step 6: Final answer
    x = 589,157.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.