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Finding the Third Proportional to 467,929.41 and 958,035.94

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Solution

The third proportional to 467,929.41 and 958,035.94 is: 1,961,477.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,929.41 : 958,035.94 = 958,035.94 : x
  2. Step 2: Convert to fraction form
    467,929.41/958,035.94 = 958,035.94/x
  3. Step 3: Cross multiply
    467,929.41x = 958,035.94 × 958,035.94
  4. Step 4: Simplify right side
    467,929.41x = 917,832,857,541.50
  5. Step 5: Solve for x
    x = 917,832,857,541.50/467,929.41
  6. Step 6: Final answer
    x = 1,961,477.19

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.