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Finding the Third Proportional to 255,406 and 537,277

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Solution

The third proportional to 255,406 and 537,277 is: 1,130,226.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,406 : 537,277 = 537,277 : x
  2. Step 2: Convert to fraction form
    255,406/537,277 = 537,277/x
  3. Step 3: Cross multiply
    255,406x = 537,277 × 537,277
  4. Step 4: Simplify right side
    255,406x = 288,666,574,729
  5. Step 5: Solve for x
    x = 288,666,574,729/255,406
  6. Step 6: Final answer
    x = 1,130,226.29

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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.