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Finding the Third Proportional to 537,460 and 776,939

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Solution

The third proportional to 537,460 and 776,939 is: 1,123,123.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,460 : 776,939 = 776,939 : x
  2. Step 2: Convert to fraction form
    537,460/776,939 = 776,939/x
  3. Step 3: Cross multiply
    537,460x = 776,939 × 776,939
  4. Step 4: Simplify right side
    537,460x = 603,634,209,721
  5. Step 5: Solve for x
    x = 603,634,209,721/537,460
  6. Step 6: Final answer
    x = 1,123,123.97

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.