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Finding the Third Proportional to 361,776 and 776,037

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Solution

The third proportional to 361,776 and 776,037 is: 1,664,658.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,776 : 776,037 = 776,037 : x
  2. Step 2: Convert to fraction form
    361,776/776,037 = 776,037/x
  3. Step 3: Cross multiply
    361,776x = 776,037 × 776,037
  4. Step 4: Simplify right side
    361,776x = 602,233,425,369
  5. Step 5: Solve for x
    x = 602,233,425,369/361,776
  6. Step 6: Final answer
    x = 1,664,658.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.