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Finding the Third Proportional to 243,830.25 and 521,460

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Solution

The third proportional to 243,830.25 and 521,460 is: 1,115,204.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,830.25 : 521,460 = 521,460 : x
  2. Step 2: Convert to fraction form
    243,830.25/521,460 = 521,460/x
  3. Step 3: Cross multiply
    243,830.25x = 521,460 × 521,460
  4. Step 4: Simplify right side
    243,830.25x = 271,920,531,600
  5. Step 5: Solve for x
    x = 271,920,531,600/243,830.25
  6. Step 6: Final answer
    x = 1,115,204.25

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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.