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Finding the Third Proportional to 631,262.25 and 953,454.38

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Solution

The third proportional to 631,262.25 and 953,454.38 is: 1,440,091.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,262.25 : 953,454.38 = 953,454.38 : x
  2. Step 2: Convert to fraction form
    631,262.25/953,454.38 = 953,454.38/x
  3. Step 3: Cross multiply
    631,262.25x = 953,454.38 × 953,454.38
  4. Step 4: Simplify right side
    631,262.25x = 909,075,245,206.64
  5. Step 5: Solve for x
    x = 909,075,245,206.64/631,262.25
  6. Step 6: Final answer
    x = 1,440,091.25

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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.