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Finding the Third Proportional to 533,025 and 1,139,310

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Solution

The third proportional to 533,025 and 1,139,310 is: 2,435,209.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,025 : 1,139,310 = 1,139,310 : x
  2. Step 2: Convert to fraction form
    533,025/1,139,310 = 1,139,310/x
  3. Step 3: Cross multiply
    533,025x = 1,139,310 × 1,139,310
  4. Step 4: Simplify right side
    533,025x = 1,298,027,276,100
  5. Step 5: Solve for x
    x = 1,298,027,276,100/533,025
  6. Step 6: Final answer
    x = 2,435,209.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.