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Finding the Third Proportional to 254,536 and 575,076

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Solution

The third proportional to 254,536 and 575,076 is: 1,299,275.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,536 : 575,076 = 575,076 : x
  2. Step 2: Convert to fraction form
    254,536/575,076 = 575,076/x
  3. Step 3: Cross multiply
    254,536x = 575,076 × 575,076
  4. Step 4: Simplify right side
    254,536x = 330,712,405,776
  5. Step 5: Solve for x
    x = 330,712,405,776/254,536
  6. Step 6: Final answer
    x = 1,299,275.57

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.