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Finding the Third Proportional to 416,360 and 658,648

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Solution

The third proportional to 416,360 and 658,648 is: 1,041,928.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,360 : 658,648 = 658,648 : x
  2. Step 2: Convert to fraction form
    416,360/658,648 = 658,648/x
  3. Step 3: Cross multiply
    416,360x = 658,648 × 658,648
  4. Step 4: Simplify right side
    416,360x = 433,817,187,904
  5. Step 5: Solve for x
    x = 433,817,187,904/416,360
  6. Step 6: Final answer
    x = 1,041,928.11

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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.