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Finding the Third Proportional to 255,607 and 537,654

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Solution

The third proportional to 255,607 and 537,654 is: 1,130,922.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,607 : 537,654 = 537,654 : x
  2. Step 2: Convert to fraction form
    255,607/537,654 = 537,654/x
  3. Step 3: Cross multiply
    255,607x = 537,654 × 537,654
  4. Step 4: Simplify right side
    255,607x = 289,071,823,716
  5. Step 5: Solve for x
    x = 289,071,823,716/255,607
  6. Step 6: Final answer
    x = 1,130,922.95

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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.