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Finding the Third Proportional to 296,258 and 637,471

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Solution

The third proportional to 296,258 and 637,471 is: 1,371,673.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,258 : 637,471 = 637,471 : x
  2. Step 2: Convert to fraction form
    296,258/637,471 = 637,471/x
  3. Step 3: Cross multiply
    296,258x = 637,471 × 637,471
  4. Step 4: Simplify right side
    296,258x = 406,369,275,841
  5. Step 5: Solve for x
    x = 406,369,275,841/296,258
  6. Step 6: Final answer
    x = 1,371,673.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.