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Finding the Third Proportional to 233,468 and 360,567

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Solution

The third proportional to 233,468 and 360,567 is: 556,858.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,468 : 360,567 = 360,567 : x
  2. Step 2: Convert to fraction form
    233,468/360,567 = 360,567/x
  3. Step 3: Cross multiply
    233,468x = 360,567 × 360,567
  4. Step 4: Simplify right side
    233,468x = 130,008,561,489
  5. Step 5: Solve for x
    x = 130,008,561,489/233,468
  6. Step 6: Final answer
    x = 556,858.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.