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Finding the Third Proportional to 316,764 and 683,040

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Solution

The third proportional to 316,764 and 683,040 is: 1,472,843.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,764 : 683,040 = 683,040 : x
  2. Step 2: Convert to fraction form
    316,764/683,040 = 683,040/x
  3. Step 3: Cross multiply
    316,764x = 683,040 × 683,040
  4. Step 4: Simplify right side
    316,764x = 466,543,641,600
  5. Step 5: Solve for x
    x = 466,543,641,600/316,764
  6. Step 6: Final answer
    x = 1,472,843.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.