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Finding the Third Proportional to 388,010 and 598,629

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Solution

The third proportional to 388,010 and 598,629 is: 923,575.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,010 : 598,629 = 598,629 : x
  2. Step 2: Convert to fraction form
    388,010/598,629 = 598,629/x
  3. Step 3: Cross multiply
    388,010x = 598,629 × 598,629
  4. Step 4: Simplify right side
    388,010x = 358,356,679,641
  5. Step 5: Solve for x
    x = 358,356,679,641/388,010
  6. Step 6: Final answer
    x = 923,575.89

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Why These Related Problems?

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