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Finding the Third Proportional to 631,288 and 953,476

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Solution

The third proportional to 631,288 and 953,476 is: 1,440,097.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,288 : 953,476 = 953,476 : x
  2. Step 2: Convert to fraction form
    631,288/953,476 = 953,476/x
  3. Step 3: Cross multiply
    631,288x = 953,476 × 953,476
  4. Step 4: Simplify right side
    631,288x = 909,116,482,576
  5. Step 5: Solve for x
    x = 909,116,482,576/631,288
  6. Step 6: Final answer
    x = 1,440,097.84

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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.