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Finding the Third Proportional to 581,283 and 852,795

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Solution

The third proportional to 581,283 and 852,795 is: 1,251,127.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,283 : 852,795 = 852,795 : x
  2. Step 2: Convert to fraction form
    581,283/852,795 = 852,795/x
  3. Step 3: Cross multiply
    581,283x = 852,795 × 852,795
  4. Step 4: Simplify right side
    581,283x = 727,259,312,025
  5. Step 5: Solve for x
    x = 727,259,312,025/581,283
  6. Step 6: Final answer
    x = 1,251,127.78

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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.