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Finding the Third Proportional to 236,464 and 514,400

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Solution

The third proportional to 236,464 and 514,400 is: 1,119,017.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,464 : 514,400 = 514,400 : x
  2. Step 2: Convert to fraction form
    236,464/514,400 = 514,400/x
  3. Step 3: Cross multiply
    236,464x = 514,400 × 514,400
  4. Step 4: Simplify right side
    236,464x = 264,607,360,000
  5. Step 5: Solve for x
    x = 264,607,360,000/236,464
  6. Step 6: Final answer
    x = 1,119,017.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.