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Finding the Third Proportional to 316,084 and 746,146

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Solution

The third proportional to 316,084 and 746,146 is: 1,761,347.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,084 : 746,146 = 746,146 : x
  2. Step 2: Convert to fraction form
    316,084/746,146 = 746,146/x
  3. Step 3: Cross multiply
    316,084x = 746,146 × 746,146
  4. Step 4: Simplify right side
    316,084x = 556,733,853,316
  5. Step 5: Solve for x
    x = 556,733,853,316/316,084
  6. Step 6: Final answer
    x = 1,761,347.79

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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.