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Finding the Third Proportional to 637,130.25 and 963,857.25

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Solution

The third proportional to 637,130.25 and 963,857.25 is: 1,458,133.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,130.25 : 963,857.25 = 963,857.25 : x
  2. Step 2: Convert to fraction form
    637,130.25/963,857.25 = 963,857.25/x
  3. Step 3: Cross multiply
    637,130.25x = 963,857.25 × 963,857.25
  4. Step 4: Simplify right side
    637,130.25x = 929,020,798,377.56
  5. Step 5: Solve for x
    x = 929,020,798,377.56/637,130.25
  6. Step 6: Final answer
    x = 1,458,133.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.