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Finding the Third Proportional to 610,437 and 967,338

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Solution

The third proportional to 610,437 and 967,338 is: 1,532,906.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,437 : 967,338 = 967,338 : x
  2. Step 2: Convert to fraction form
    610,437/967,338 = 967,338/x
  3. Step 3: Cross multiply
    610,437x = 967,338 × 967,338
  4. Step 4: Simplify right side
    610,437x = 935,742,806,244
  5. Step 5: Solve for x
    x = 935,742,806,244/610,437
  6. Step 6: Final answer
    x = 1,532,906.44

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.