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Finding the Third Proportional to 240,480 and 514,308

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Solution

The third proportional to 240,480 and 514,308 is: 1,099,936.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,480 : 514,308 = 514,308 : x
  2. Step 2: Convert to fraction form
    240,480/514,308 = 514,308/x
  3. Step 3: Cross multiply
    240,480x = 514,308 × 514,308
  4. Step 4: Simplify right side
    240,480x = 264,512,718,864
  5. Step 5: Solve for x
    x = 264,512,718,864/240,480
  6. Step 6: Final answer
    x = 1,099,936.46

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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.