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Finding the Third Proportional to 316,779.75 and 689,328

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Solution

The third proportional to 316,779.75 and 689,328 is: 1,500,010.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,779.75 : 689,328 = 689,328 : x
  2. Step 2: Convert to fraction form
    316,779.75/689,328 = 689,328/x
  3. Step 3: Cross multiply
    316,779.75x = 689,328 × 689,328
  4. Step 4: Simplify right side
    316,779.75x = 475,173,091,584
  5. Step 5: Solve for x
    x = 475,173,091,584/316,779.75
  6. Step 6: Final answer
    x = 1,500,010.94

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.