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Finding the Third Proportional to 233,480 and 356,998

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Solution

The third proportional to 233,480 and 356,998 is: 545,860.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,480 : 356,998 = 356,998 : x
  2. Step 2: Convert to fraction form
    233,480/356,998 = 356,998/x
  3. Step 3: Cross multiply
    233,480x = 356,998 × 356,998
  4. Step 4: Simplify right side
    233,480x = 127,447,572,004
  5. Step 5: Solve for x
    x = 127,447,572,004/233,480
  6. Step 6: Final answer
    x = 545,860.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.