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Finding the Third Proportional to 533,402 and 779,019

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Solution

The third proportional to 533,402 and 779,019 is: 1,137,735.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,402 : 779,019 = 779,019 : x
  2. Step 2: Convert to fraction form
    533,402/779,019 = 779,019/x
  3. Step 3: Cross multiply
    533,402x = 779,019 × 779,019
  4. Step 4: Simplify right side
    533,402x = 606,870,602,361
  5. Step 5: Solve for x
    x = 606,870,602,361/533,402
  6. Step 6: Final answer
    x = 1,137,735.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.