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Finding the Third Proportional to 451,314 and 696,546

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Solution

The third proportional to 451,314 and 696,546 is: 1,075,030.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,314 : 696,546 = 696,546 : x
  2. Step 2: Convert to fraction form
    451,314/696,546 = 696,546/x
  3. Step 3: Cross multiply
    451,314x = 696,546 × 696,546
  4. Step 4: Simplify right side
    451,314x = 485,176,330,116
  5. Step 5: Solve for x
    x = 485,176,330,116/451,314
  6. Step 6: Final answer
    x = 1,075,030.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.