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Finding the Third Proportional to 469,308 and 703,977

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Solution

The third proportional to 469,308 and 703,977 is: 1,055,988.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,308 : 703,977 = 703,977 : x
  2. Step 2: Convert to fraction form
    469,308/703,977 = 703,977/x
  3. Step 3: Cross multiply
    469,308x = 703,977 × 703,977
  4. Step 4: Simplify right side
    469,308x = 495,583,616,529
  5. Step 5: Solve for x
    x = 495,583,616,529/469,308
  6. Step 6: Final answer
    x = 1,055,988.00

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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.