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Finding the Third Proportional to 255,610 and 537,660

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Solution

The third proportional to 255,610 and 537,660 is: 1,130,934.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,610 : 537,660 = 537,660 : x
  2. Step 2: Convert to fraction form
    255,610/537,660 = 537,660/x
  3. Step 3: Cross multiply
    255,610x = 537,660 × 537,660
  4. Step 4: Simplify right side
    255,610x = 289,078,275,600
  5. Step 5: Solve for x
    x = 289,078,275,600/255,610
  6. Step 6: Final answer
    x = 1,130,934.92

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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.