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Finding the Third Proportional to 387,042 and 569,182

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Solution

The third proportional to 387,042 and 569,182 is: 837,036.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,042 : 569,182 = 569,182 : x
  2. Step 2: Convert to fraction form
    387,042/569,182 = 569,182/x
  3. Step 3: Cross multiply
    387,042x = 569,182 × 569,182
  4. Step 4: Simplify right side
    387,042x = 323,968,149,124
  5. Step 5: Solve for x
    x = 323,968,149,124/387,042
  6. Step 6: Final answer
    x = 837,036.16

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Why These Related Problems?

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