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Finding the Third Proportional to 536,784 and 805,188

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Solution

The third proportional to 536,784 and 805,188 is: 1,207,800.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,784 : 805,188 = 805,188 : x
  2. Step 2: Convert to fraction form
    536,784/805,188 = 805,188/x
  3. Step 3: Cross multiply
    536,784x = 805,188 × 805,188
  4. Step 4: Simplify right side
    536,784x = 648,327,715,344
  5. Step 5: Solve for x
    x = 648,327,715,344/536,784
  6. Step 6: Final answer
    x = 1,207,800.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.