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Finding the Third Proportional to 389,010 and 569,502

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Solution

The third proportional to 389,010 and 569,502 is: 833,738.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,010 : 569,502 = 569,502 : x
  2. Step 2: Convert to fraction form
    389,010/569,502 = 569,502/x
  3. Step 3: Cross multiply
    389,010x = 569,502 × 569,502
  4. Step 4: Simplify right side
    389,010x = 324,332,528,004
  5. Step 5: Solve for x
    x = 324,332,528,004/389,010
  6. Step 6: Final answer
    x = 833,738.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.