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Finding the Third Proportional to 403,866 and 581,742

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Solution

The third proportional to 403,866 and 581,742 is: 837,960.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,866 : 581,742 = 581,742 : x
  2. Step 2: Convert to fraction form
    403,866/581,742 = 581,742/x
  3. Step 3: Cross multiply
    403,866x = 581,742 × 581,742
  4. Step 4: Simplify right side
    403,866x = 338,423,754,564
  5. Step 5: Solve for x
    x = 338,423,754,564/403,866
  6. Step 6: Final answer
    x = 837,960.50

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.