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Finding the Third Proportional to 610,258.50 and 919,842.75

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Solution

The third proportional to 610,258.50 and 919,842.75 is: 1,386,479.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,258.50 : 919,842.75 = 919,842.75 : x
  2. Step 2: Convert to fraction form
    610,258.50/919,842.75 = 919,842.75/x
  3. Step 3: Cross multiply
    610,258.50x = 919,842.75 × 919,842.75
  4. Step 4: Simplify right side
    610,258.50x = 846,110,684,727.56
  5. Step 5: Solve for x
    x = 846,110,684,727.56/610,258.50
  6. Step 6: Final answer
    x = 1,386,479.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.