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Finding the Third Proportional to 255,598.75 and 537,638.50

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Solution

The third proportional to 255,598.75 and 537,638.50 is: 1,130,894.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,598.75 : 537,638.50 = 537,638.50 : x
  2. Step 2: Convert to fraction form
    255,598.75/537,638.50 = 537,638.50/x
  3. Step 3: Cross multiply
    255,598.75x = 537,638.50 × 537,638.50
  4. Step 4: Simplify right side
    255,598.75x = 289,055,156,682.25
  5. Step 5: Solve for x
    x = 289,055,156,682.25/255,598.75
  6. Step 6: Final answer
    x = 1,130,894.25

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.