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Finding the Third Proportional to 265,519 and 573,441.50

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Solution

The third proportional to 265,519 and 573,441.50 is: 1,238,461.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,519 : 573,441.50 = 573,441.50 : x
  2. Step 2: Convert to fraction form
    265,519/573,441.50 = 573,441.50/x
  3. Step 3: Cross multiply
    265,519x = 573,441.50 × 573,441.50
  4. Step 4: Simplify right side
    265,519x = 328,835,153,922.25
  5. Step 5: Solve for x
    x = 328,835,153,922.25/265,519
  6. Step 6: Final answer
    x = 1,238,461.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.