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Finding the Third Proportional to 402,440 and 837,952

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Solution

The third proportional to 402,440 and 837,952 is: 1,744,765.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,440 : 837,952 = 837,952 : x
  2. Step 2: Convert to fraction form
    402,440/837,952 = 837,952/x
  3. Step 3: Cross multiply
    402,440x = 837,952 × 837,952
  4. Step 4: Simplify right side
    402,440x = 702,163,554,304
  5. Step 5: Solve for x
    x = 702,163,554,304/402,440
  6. Step 6: Final answer
    x = 1,744,765.81

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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.