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Finding the Third Proportional to 257,580 and 575,424

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Solution

The third proportional to 257,580 and 575,424 is: 1,285,475.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,580 : 575,424 = 575,424 : x
  2. Step 2: Convert to fraction form
    257,580/575,424 = 575,424/x
  3. Step 3: Cross multiply
    257,580x = 575,424 × 575,424
  4. Step 4: Simplify right side
    257,580x = 331,112,779,776
  5. Step 5: Solve for x
    x = 331,112,779,776/257,580
  6. Step 6: Final answer
    x = 1,285,475.50

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.