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Finding the Third Proportional to 296,216 and 423,295

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Solution

The third proportional to 296,216 and 423,295 is: 604,891.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,216 : 423,295 = 423,295 : x
  2. Step 2: Convert to fraction form
    296,216/423,295 = 423,295/x
  3. Step 3: Cross multiply
    296,216x = 423,295 × 423,295
  4. Step 4: Simplify right side
    296,216x = 179,178,657,025
  5. Step 5: Solve for x
    x = 179,178,657,025/296,216
  6. Step 6: Final answer
    x = 604,891.89

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.