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Finding the Third Proportional to 296,804 and 657,634

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Solution

The third proportional to 296,804 and 657,634 is: 1,457,131.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,804 : 657,634 = 657,634 : x
  2. Step 2: Convert to fraction form
    296,804/657,634 = 657,634/x
  3. Step 3: Cross multiply
    296,804x = 657,634 × 657,634
  4. Step 4: Simplify right side
    296,804x = 432,482,477,956
  5. Step 5: Solve for x
    x = 432,482,477,956/296,804
  6. Step 6: Final answer
    x = 1,457,131.57

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.