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Finding the Third Proportional to 501,339 and 756,261

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Solution

The third proportional to 501,339 and 756,261 is: 1,140,806.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,339 : 756,261 = 756,261 : x
  2. Step 2: Convert to fraction form
    501,339/756,261 = 756,261/x
  3. Step 3: Cross multiply
    501,339x = 756,261 × 756,261
  4. Step 4: Simplify right side
    501,339x = 571,930,700,121
  5. Step 5: Solve for x
    x = 571,930,700,121/501,339
  6. Step 6: Final answer
    x = 1,140,806.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.