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Finding the Third Proportional to 697,498.50 and 987,232.50

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Solution

The third proportional to 697,498.50 and 987,232.50 is: 1,397,319.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,498.50 : 987,232.50 = 987,232.50 : x
  2. Step 2: Convert to fraction form
    697,498.50/987,232.50 = 987,232.50/x
  3. Step 3: Cross multiply
    697,498.50x = 987,232.50 × 987,232.50
  4. Step 4: Simplify right side
    697,498.50x = 974,628,009,056.25
  5. Step 5: Solve for x
    x = 974,628,009,056.25/697,498.50
  6. Step 6: Final answer
    x = 1,397,319.15

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.