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Finding the Third Proportional to 233,369 and 360,417

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Solution

The third proportional to 233,369 and 360,417 is: 556,630.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,369 : 360,417 = 360,417 : x
  2. Step 2: Convert to fraction form
    233,369/360,417 = 360,417/x
  3. Step 3: Cross multiply
    233,369x = 360,417 × 360,417
  4. Step 4: Simplify right side
    233,369x = 129,900,413,889
  5. Step 5: Solve for x
    x = 129,900,413,889/233,369
  6. Step 6: Final answer
    x = 556,630.97

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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.