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Finding the Third Proportional to 407,032 and 598,352

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Solution

The third proportional to 407,032 and 598,352 is: 879,599.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,032 : 598,352 = 598,352 : x
  2. Step 2: Convert to fraction form
    407,032/598,352 = 598,352/x
  3. Step 3: Cross multiply
    407,032x = 598,352 × 598,352
  4. Step 4: Simplify right side
    407,032x = 358,025,115,904
  5. Step 5: Solve for x
    x = 358,025,115,904/407,032
  6. Step 6: Final answer
    x = 879,599.43

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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.