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Finding the Third Proportional to 402,476 and 838,024

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Solution

The third proportional to 402,476 and 838,024 is: 1,744,909.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,476 : 838,024 = 838,024 : x
  2. Step 2: Convert to fraction form
    402,476/838,024 = 838,024/x
  3. Step 3: Cross multiply
    402,476x = 838,024 × 838,024
  4. Step 4: Simplify right side
    402,476x = 702,284,224,576
  5. Step 5: Solve for x
    x = 702,284,224,576/402,476
  6. Step 6: Final answer
    x = 1,744,909.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.