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Finding the Third Proportional to 399,606.75 and 856,075.50

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Solution

The third proportional to 399,606.75 and 856,075.50 is: 1,833,966.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,606.75 : 856,075.50 = 856,075.50 : x
  2. Step 2: Convert to fraction form
    399,606.75/856,075.50 = 856,075.50/x
  3. Step 3: Cross multiply
    399,606.75x = 856,075.50 × 856,075.50
  4. Step 4: Simplify right side
    399,606.75x = 732,865,261,700.25
  5. Step 5: Solve for x
    x = 732,865,261,700.25/399,606.75
  6. Step 6: Final answer
    x = 1,833,966.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.