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Finding the Third Proportional to 296,757 and 657,558

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Solution

The third proportional to 296,757 and 657,558 is: 1,457,025.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,757 : 657,558 = 657,558 : x
  2. Step 2: Convert to fraction form
    296,757/657,558 = 657,558/x
  3. Step 3: Cross multiply
    296,757x = 657,558 × 657,558
  4. Step 4: Simplify right side
    296,757x = 432,382,523,364
  5. Step 5: Solve for x
    x = 432,382,523,364/296,757
  6. Step 6: Final answer
    x = 1,457,025.52

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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.