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Finding the Third Proportional to 387,106 and 598,147

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Solution

The third proportional to 387,106 and 598,147 is: 924,242.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,106 : 598,147 = 598,147 : x
  2. Step 2: Convert to fraction form
    387,106/598,147 = 598,147/x
  3. Step 3: Cross multiply
    387,106x = 598,147 × 598,147
  4. Step 4: Simplify right side
    387,106x = 357,779,833,609
  5. Step 5: Solve for x
    x = 357,779,833,609/387,106
  6. Step 6: Final answer
    x = 924,242.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.