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Finding the Third Proportional to 257,178 and 565,262

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Solution

The third proportional to 257,178 and 565,262 is: 1,242,412.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,178 : 565,262 = 565,262 : x
  2. Step 2: Convert to fraction form
    257,178/565,262 = 565,262/x
  3. Step 3: Cross multiply
    257,178x = 565,262 × 565,262
  4. Step 4: Simplify right side
    257,178x = 319,521,128,644
  5. Step 5: Solve for x
    x = 319,521,128,644/257,178
  6. Step 6: Final answer
    x = 1,242,412.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.