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Finding the Third Proportional to 316,176 and 746,347

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Solution

The third proportional to 316,176 and 746,347 is: 1,761,784.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,176 : 746,347 = 746,347 : x
  2. Step 2: Convert to fraction form
    316,176/746,347 = 746,347/x
  3. Step 3: Cross multiply
    316,176x = 746,347 × 746,347
  4. Step 4: Simplify right side
    316,176x = 557,033,844,409
  5. Step 5: Solve for x
    x = 557,033,844,409/316,176
  6. Step 6: Final answer
    x = 1,761,784.08

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.