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Finding the Third Proportional to 254,430 and 535,014

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Solution

The third proportional to 254,430 and 535,014 is: 1,125,024.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,430 : 535,014 = 535,014 : x
  2. Step 2: Convert to fraction form
    254,430/535,014 = 535,014/x
  3. Step 3: Cross multiply
    254,430x = 535,014 × 535,014
  4. Step 4: Simplify right side
    254,430x = 286,239,980,196
  5. Step 5: Solve for x
    x = 286,239,980,196/254,430
  6. Step 6: Final answer
    x = 1,125,024.49

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.