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Finding the Third Proportional to 590,512 and 866,084

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Solution

The third proportional to 590,512 and 866,084 is: 1,270,256.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,512 : 866,084 = 866,084 : x
  2. Step 2: Convert to fraction form
    590,512/866,084 = 866,084/x
  3. Step 3: Cross multiply
    590,512x = 866,084 × 866,084
  4. Step 4: Simplify right side
    590,512x = 750,101,495,056
  5. Step 5: Solve for x
    x = 750,101,495,056/590,512
  6. Step 6: Final answer
    x = 1,270,256.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.