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Finding the Third Proportional to 435,362 and 638,139

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Solution

The third proportional to 435,362 and 638,139 is: 935,362.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,362 : 638,139 = 638,139 : x
  2. Step 2: Convert to fraction form
    435,362/638,139 = 638,139/x
  3. Step 3: Cross multiply
    435,362x = 638,139 × 638,139
  4. Step 4: Simplify right side
    435,362x = 407,221,383,321
  5. Step 5: Solve for x
    x = 407,221,383,321/435,362
  6. Step 6: Final answer
    x = 935,362.72

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