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Finding the Third Proportional to 295,870 and 646,982

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Solution

The third proportional to 295,870 and 646,982 is: 1,414,762.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,870 : 646,982 = 646,982 : x
  2. Step 2: Convert to fraction form
    295,870/646,982 = 646,982/x
  3. Step 3: Cross multiply
    295,870x = 646,982 × 646,982
  4. Step 4: Simplify right side
    295,870x = 418,585,708,324
  5. Step 5: Solve for x
    x = 418,585,708,324/295,870
  6. Step 6: Final answer
    x = 1,414,762.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.