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Finding the Third Proportional to 367,712 and 794,507

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Solution

The third proportional to 367,712 and 794,507 is: 1,716,673.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,712 : 794,507 = 794,507 : x
  2. Step 2: Convert to fraction form
    367,712/794,507 = 794,507/x
  3. Step 3: Cross multiply
    367,712x = 794,507 × 794,507
  4. Step 4: Simplify right side
    367,712x = 631,241,373,049
  5. Step 5: Solve for x
    x = 631,241,373,049/367,712
  6. Step 6: Final answer
    x = 1,716,673.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.