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Finding the Third Proportional to 410,402 and 616,791

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Solution

The third proportional to 410,402 and 616,791 is: 926,971.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,402 : 616,791 = 616,791 : x
  2. Step 2: Convert to fraction form
    410,402/616,791 = 616,791/x
  3. Step 3: Cross multiply
    410,402x = 616,791 × 616,791
  4. Step 4: Simplify right side
    410,402x = 380,431,137,681
  5. Step 5: Solve for x
    x = 380,431,137,681/410,402
  6. Step 6: Final answer
    x = 926,971.94

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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.