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Finding the Third Proportional to 240,838 and 375,045

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Solution

The third proportional to 240,838 and 375,045 is: 584,038.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,838 : 375,045 = 375,045 : x
  2. Step 2: Convert to fraction form
    240,838/375,045 = 375,045/x
  3. Step 3: Cross multiply
    240,838x = 375,045 × 375,045
  4. Step 4: Simplify right side
    240,838x = 140,658,752,025
  5. Step 5: Solve for x
    x = 140,658,752,025/240,838
  6. Step 6: Final answer
    x = 584,038.86

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.