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Finding the Third Proportional to 255,598.45 and 537,638.77

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Solution

The third proportional to 255,598.45 and 537,638.77 is: 1,130,896.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,598.45 : 537,638.77 = 537,638.77 : x
  2. Step 2: Convert to fraction form
    255,598.45/537,638.77 = 537,638.77/x
  3. Step 3: Cross multiply
    255,598.45x = 537,638.77 × 537,638.77
  4. Step 4: Simplify right side
    255,598.45x = 289,055,442,302.77
  5. Step 5: Solve for x
    x = 289,055,442,302.77/255,598.45
  6. Step 6: Final answer
    x = 1,130,896.68

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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.