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Finding the Third Proportional to 270,216 and 430,056

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Solution

The third proportional to 270,216 and 430,056 is: 684,445.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,216 : 430,056 = 430,056 : x
  2. Step 2: Convert to fraction form
    270,216/430,056 = 430,056/x
  3. Step 3: Cross multiply
    270,216x = 430,056 × 430,056
  4. Step 4: Simplify right side
    270,216x = 184,948,163,136
  5. Step 5: Solve for x
    x = 184,948,163,136/270,216
  6. Step 6: Final answer
    x = 684,445.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.