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Finding the Third Proportional to 569,876.63 and 866,565

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Solution

The third proportional to 569,876.63 and 866,565 is: 1,317,714.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,876.63 : 866,565 = 866,565 : x
  2. Step 2: Convert to fraction form
    569,876.63/866,565 = 866,565/x
  3. Step 3: Cross multiply
    569,876.63x = 866,565 × 866,565
  4. Step 4: Simplify right side
    569,876.63x = 750,934,899,225
  5. Step 5: Solve for x
    x = 750,934,899,225/569,876.63
  6. Step 6: Final answer
    x = 1,317,714.86

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.