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Finding the Third Proportional to 252,765 and 536,701.50

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Solution

The third proportional to 252,765 and 536,701.50 is: 1,139,590.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,765 : 536,701.50 = 536,701.50 : x
  2. Step 2: Convert to fraction form
    252,765/536,701.50 = 536,701.50/x
  3. Step 3: Cross multiply
    252,765x = 536,701.50 × 536,701.50
  4. Step 4: Simplify right side
    252,765x = 288,048,500,102.25
  5. Step 5: Solve for x
    x = 288,048,500,102.25/252,765
  6. Step 6: Final answer
    x = 1,139,590.13

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.