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Finding the Third Proportional to 296,803 and 657,632

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Solution

The third proportional to 296,803 and 657,632 is: 1,457,127.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,803 : 657,632 = 657,632 : x
  2. Step 2: Convert to fraction form
    296,803/657,632 = 657,632/x
  3. Step 3: Cross multiply
    296,803x = 657,632 × 657,632
  4. Step 4: Simplify right side
    296,803x = 432,479,847,424
  5. Step 5: Solve for x
    x = 432,479,847,424/296,803
  6. Step 6: Final answer
    x = 1,457,127.61

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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.