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Finding the Third Proportional to 652,310.50 and 1,322,970

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Solution

The third proportional to 652,310.50 and 1,322,970 is: 2,683,154.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,310.50 : 1,322,970 = 1,322,970 : x
  2. Step 2: Convert to fraction form
    652,310.50/1,322,970 = 1,322,970/x
  3. Step 3: Cross multiply
    652,310.50x = 1,322,970 × 1,322,970
  4. Step 4: Simplify right side
    652,310.50x = 1,750,249,620,900
  5. Step 5: Solve for x
    x = 1,750,249,620,900/652,310.50
  6. Step 6: Final answer
    x = 2,683,154.14

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.