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Finding the Third Proportional to 255,481 and 537,421

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Solution

The third proportional to 255,481 and 537,421 is: 1,130,500.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,481 : 537,421 = 537,421 : x
  2. Step 2: Convert to fraction form
    255,481/537,421 = 537,421/x
  3. Step 3: Cross multiply
    255,481x = 537,421 × 537,421
  4. Step 4: Simplify right side
    255,481x = 288,821,331,241
  5. Step 5: Solve for x
    x = 288,821,331,241/255,481
  6. Step 6: Final answer
    x = 1,130,500.24

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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.