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Finding the Third Proportional to 240,426 and 514,206

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Solution

The third proportional to 240,426 and 514,206 is: 1,099,747.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,426 : 514,206 = 514,206 : x
  2. Step 2: Convert to fraction form
    240,426/514,206 = 514,206/x
  3. Step 3: Cross multiply
    240,426x = 514,206 × 514,206
  4. Step 4: Simplify right side
    240,426x = 264,407,810,436
  5. Step 5: Solve for x
    x = 264,407,810,436/240,426
  6. Step 6: Final answer
    x = 1,099,747.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.