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Finding the Third Proportional to 393,925.50 and 864,441

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Solution

The third proportional to 393,925.50 and 864,441 is: 1,896,953.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,925.50 : 864,441 = 864,441 : x
  2. Step 2: Convert to fraction form
    393,925.50/864,441 = 864,441/x
  3. Step 3: Cross multiply
    393,925.50x = 864,441 × 864,441
  4. Step 4: Simplify right side
    393,925.50x = 747,258,242,481
  5. Step 5: Solve for x
    x = 747,258,242,481/393,925.50
  6. Step 6: Final answer
    x = 1,896,953.21

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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.