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Finding the Third Proportional to 360,298.50 and 560,859

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Solution

The third proportional to 360,298.50 and 560,859 is: 873,061.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,298.50 : 560,859 = 560,859 : x
  2. Step 2: Convert to fraction form
    360,298.50/560,859 = 560,859/x
  3. Step 3: Cross multiply
    360,298.50x = 560,859 × 560,859
  4. Step 4: Simplify right side
    360,298.50x = 314,562,817,881
  5. Step 5: Solve for x
    x = 314,562,817,881/360,298.50
  6. Step 6: Final answer
    x = 873,061.69

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.