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Finding the Third Proportional to 336,864.75 and 508,807.13

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Solution

The third proportional to 336,864.75 and 508,807.13 is: 768,512.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,864.75 : 508,807.13 = 508,807.13 : x
  2. Step 2: Convert to fraction form
    336,864.75/508,807.13 = 508,807.13/x
  3. Step 3: Cross multiply
    336,864.75x = 508,807.13 × 508,807.13
  4. Step 4: Simplify right side
    336,864.75x = 258,884,690,450.77
  5. Step 5: Solve for x
    x = 258,884,690,450.77/336,864.75
  6. Step 6: Final answer
    x = 768,512.26

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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.