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Finding the Third Proportional to 537,940 and 803,752

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Solution

The third proportional to 537,940 and 803,752 is: 1,200,909.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,940 : 803,752 = 803,752 : x
  2. Step 2: Convert to fraction form
    537,940/803,752 = 803,752/x
  3. Step 3: Cross multiply
    537,940x = 803,752 × 803,752
  4. Step 4: Simplify right side
    537,940x = 646,017,277,504
  5. Step 5: Solve for x
    x = 646,017,277,504/537,940
  6. Step 6: Final answer
    x = 1,200,909.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.