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Finding the Third Proportional to 762,739.50 and 1,035,894

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Solution

The third proportional to 762,739.50 and 1,035,894 is: 1,406,871.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,739.50 : 1,035,894 = 1,035,894 : x
  2. Step 2: Convert to fraction form
    762,739.50/1,035,894 = 1,035,894/x
  3. Step 3: Cross multiply
    762,739.50x = 1,035,894 × 1,035,894
  4. Step 4: Simplify right side
    762,739.50x = 1,073,076,379,236
  5. Step 5: Solve for x
    x = 1,073,076,379,236/762,739.50
  6. Step 6: Final answer
    x = 1,406,871.39

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.