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Finding the Third Proportional to 402,283 and 837,937

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Solution

The third proportional to 402,283 and 837,937 is: 1,745,384.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,283 : 837,937 = 837,937 : x
  2. Step 2: Convert to fraction form
    402,283/837,937 = 837,937/x
  3. Step 3: Cross multiply
    402,283x = 837,937 × 837,937
  4. Step 4: Simplify right side
    402,283x = 702,138,415,969
  5. Step 5: Solve for x
    x = 702,138,415,969/402,283
  6. Step 6: Final answer
    x = 1,745,384.26

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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.