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Finding the Third Proportional to 351,010 and 758,058

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Solution

The third proportional to 351,010 and 758,058 is: 1,637,138.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,010 : 758,058 = 758,058 : x
  2. Step 2: Convert to fraction form
    351,010/758,058 = 758,058/x
  3. Step 3: Cross multiply
    351,010x = 758,058 × 758,058
  4. Step 4: Simplify right side
    351,010x = 574,651,931,364
  5. Step 5: Solve for x
    x = 574,651,931,364/351,010
  6. Step 6: Final answer
    x = 1,637,138.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.