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Finding the Third Proportional to 360,056 and 787,888

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Solution

The third proportional to 360,056 and 787,888 is: 1,724,085.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,056 : 787,888 = 787,888 : x
  2. Step 2: Convert to fraction form
    360,056/787,888 = 787,888/x
  3. Step 3: Cross multiply
    360,056x = 787,888 × 787,888
  4. Step 4: Simplify right side
    360,056x = 620,767,500,544
  5. Step 5: Solve for x
    x = 620,767,500,544/360,056
  6. Step 6: Final answer
    x = 1,724,085.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.