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Finding the Third Proportional to 294,038 and 432,442

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Solution

The third proportional to 294,038 and 432,442 is: 635,992.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,038 : 432,442 = 432,442 : x
  2. Step 2: Convert to fraction form
    294,038/432,442 = 432,442/x
  3. Step 3: Cross multiply
    294,038x = 432,442 × 432,442
  4. Step 4: Simplify right side
    294,038x = 187,006,083,364
  5. Step 5: Solve for x
    x = 187,006,083,364/294,038
  6. Step 6: Final answer
    x = 635,992.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.