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Finding the Third Proportional to 661,527 and 989,698.50

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Solution

The third proportional to 661,527 and 989,698.50 is: 1,480,669.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,527 : 989,698.50 = 989,698.50 : x
  2. Step 2: Convert to fraction form
    661,527/989,698.50 = 989,698.50/x
  3. Step 3: Cross multiply
    661,527x = 989,698.50 × 989,698.50
  4. Step 4: Simplify right side
    661,527x = 979,503,120,902.25
  5. Step 5: Solve for x
    x = 979,503,120,902.25/661,527
  6. Step 6: Final answer
    x = 1,480,669.91

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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.