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Finding the Third Proportional to 296,811 and 657,648

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Solution

The third proportional to 296,811 and 657,648 is: 1,457,159.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,811 : 657,648 = 657,648 : x
  2. Step 2: Convert to fraction form
    296,811/657,648 = 657,648/x
  3. Step 3: Cross multiply
    296,811x = 657,648 × 657,648
  4. Step 4: Simplify right side
    296,811x = 432,500,891,904
  5. Step 5: Solve for x
    x = 432,500,891,904/296,811
  6. Step 6: Final answer
    x = 1,457,159.24

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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.