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Finding the Third Proportional to 351,088 and 501,708

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Solution

The third proportional to 351,088 and 501,708 is: 716,945.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,088 : 501,708 = 501,708 : x
  2. Step 2: Convert to fraction form
    351,088/501,708 = 501,708/x
  3. Step 3: Cross multiply
    351,088x = 501,708 × 501,708
  4. Step 4: Simplify right side
    351,088x = 251,710,917,264
  5. Step 5: Solve for x
    x = 251,710,917,264/351,088
  6. Step 6: Final answer
    x = 716,945.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.