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Finding the Third Proportional to 265,532 and 573,322

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Solution

The third proportional to 265,532 and 573,322 is: 1,237,885.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,532 : 573,322 = 573,322 : x
  2. Step 2: Convert to fraction form
    265,532/573,322 = 573,322/x
  3. Step 3: Cross multiply
    265,532x = 573,322 × 573,322
  4. Step 4: Simplify right side
    265,532x = 328,698,115,684
  5. Step 5: Solve for x
    x = 328,698,115,684/265,532
  6. Step 6: Final answer
    x = 1,237,885.14

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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.