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Finding the Third Proportional to 624,650 and 935,258

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Solution

The third proportional to 624,650 and 935,258 is: 1,400,316.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,650 : 935,258 = 935,258 : x
  2. Step 2: Convert to fraction form
    624,650/935,258 = 935,258/x
  3. Step 3: Cross multiply
    624,650x = 935,258 × 935,258
  4. Step 4: Simplify right side
    624,650x = 874,707,526,564
  5. Step 5: Solve for x
    x = 874,707,526,564/624,650
  6. Step 6: Final answer
    x = 1,400,316.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.