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Finding the Third Proportional to 463,941 and 718,362

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Solution

The third proportional to 463,941 and 718,362 is: 1,112,305.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,941 : 718,362 = 718,362 : x
  2. Step 2: Convert to fraction form
    463,941/718,362 = 718,362/x
  3. Step 3: Cross multiply
    463,941x = 718,362 × 718,362
  4. Step 4: Simplify right side
    463,941x = 516,043,963,044
  5. Step 5: Solve for x
    x = 516,043,963,044/463,941
  6. Step 6: Final answer
    x = 1,112,305.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.