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Finding the Third Proportional to 233,550 and 510,723

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Solution

The third proportional to 233,550 and 510,723 is: 1,116,840.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,550 : 510,723 = 510,723 : x
  2. Step 2: Convert to fraction form
    233,550/510,723 = 510,723/x
  3. Step 3: Cross multiply
    233,550x = 510,723 × 510,723
  4. Step 4: Simplify right side
    233,550x = 260,837,982,729
  5. Step 5: Solve for x
    x = 260,837,982,729/233,550
  6. Step 6: Final answer
    x = 1,116,840.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.