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Finding the Third Proportional to 374,262 and 818,507

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Solution

The third proportional to 374,262 and 818,507 is: 1,790,066.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,262 : 818,507 = 818,507 : x
  2. Step 2: Convert to fraction form
    374,262/818,507 = 818,507/x
  3. Step 3: Cross multiply
    374,262x = 818,507 × 818,507
  4. Step 4: Simplify right side
    374,262x = 669,953,709,049
  5. Step 5: Solve for x
    x = 669,953,709,049/374,262
  6. Step 6: Final answer
    x = 1,790,066.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.