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Finding the Third Proportional to 252,124 and 537,943

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Solution

The third proportional to 252,124 and 537,943 is: 1,147,779.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,124 : 537,943 = 537,943 : x
  2. Step 2: Convert to fraction form
    252,124/537,943 = 537,943/x
  3. Step 3: Cross multiply
    252,124x = 537,943 × 537,943
  4. Step 4: Simplify right side
    252,124x = 289,382,671,249
  5. Step 5: Solve for x
    x = 289,382,671,249/252,124
  6. Step 6: Final answer
    x = 1,147,779.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.