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Finding the Third Proportional to 389,525 and 598,358

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Solution

The third proportional to 389,525 and 598,358 is: 919,151.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,525 : 598,358 = 598,358 : x
  2. Step 2: Convert to fraction form
    389,525/598,358 = 598,358/x
  3. Step 3: Cross multiply
    389,525x = 598,358 × 598,358
  4. Step 4: Simplify right side
    389,525x = 358,032,296,164
  5. Step 5: Solve for x
    x = 358,032,296,164/389,525
  6. Step 6: Final answer
    x = 919,151.01

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.