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Finding the Third Proportional to 451,624 and 692,988

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Solution

The third proportional to 451,624 and 692,988 is: 1,063,345.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,624 : 692,988 = 692,988 : x
  2. Step 2: Convert to fraction form
    451,624/692,988 = 692,988/x
  3. Step 3: Cross multiply
    451,624x = 692,988 × 692,988
  4. Step 4: Simplify right side
    451,624x = 480,232,368,144
  5. Step 5: Solve for x
    x = 480,232,368,144/451,624
  6. Step 6: Final answer
    x = 1,063,345.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.