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Finding the Third Proportional to 371,057 and 563,666

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Solution

The third proportional to 371,057 and 563,666 is: 856,254.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,057 : 563,666 = 563,666 : x
  2. Step 2: Convert to fraction form
    371,057/563,666 = 563,666/x
  3. Step 3: Cross multiply
    371,057x = 563,666 × 563,666
  4. Step 4: Simplify right side
    371,057x = 317,719,359,556
  5. Step 5: Solve for x
    x = 317,719,359,556/371,057
  6. Step 6: Final answer
    x = 856,254.86

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Why These Related Problems?

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