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Finding the Third Proportional to 460,728 and 958,240.13

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Solution

The third proportional to 460,728 and 958,240.13 is: 1,992,985.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,728 : 958,240.13 = 958,240.13 : x
  2. Step 2: Convert to fraction form
    460,728/958,240.13 = 958,240.13/x
  3. Step 3: Cross multiply
    460,728x = 958,240.13 × 958,240.13
  4. Step 4: Simplify right side
    460,728x = 918,224,137,160.02
  5. Step 5: Solve for x
    x = 918,224,137,160.02/460,728
  6. Step 6: Final answer
    x = 1,992,985.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.