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Finding the Third Proportional to 233,376 and 360,429

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Solution

The third proportional to 233,376 and 360,429 is: 556,651.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,376 : 360,429 = 360,429 : x
  2. Step 2: Convert to fraction form
    233,376/360,429 = 360,429/x
  3. Step 3: Cross multiply
    233,376x = 360,429 × 360,429
  4. Step 4: Simplify right side
    233,376x = 129,909,064,041
  5. Step 5: Solve for x
    x = 129,909,064,041/233,376
  6. Step 6: Final answer
    x = 556,651.34

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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.