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Finding the Third Proportional to 240,034 and 525,260

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Solution

The third proportional to 240,034 and 525,260 is: 1,149,412.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,034 : 525,260 = 525,260 : x
  2. Step 2: Convert to fraction form
    240,034/525,260 = 525,260/x
  3. Step 3: Cross multiply
    240,034x = 525,260 × 525,260
  4. Step 4: Simplify right side
    240,034x = 275,898,067,600
  5. Step 5: Solve for x
    x = 275,898,067,600/240,034
  6. Step 6: Final answer
    x = 1,149,412.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.