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Finding the Third Proportional to 345,363.75 and 495,811.13

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Solution

The third proportional to 345,363.75 and 495,811.13 is: 711,796.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,363.75 : 495,811.13 = 495,811.13 : x
  2. Step 2: Convert to fraction form
    345,363.75/495,811.13 = 495,811.13/x
  3. Step 3: Cross multiply
    345,363.75x = 495,811.13 × 495,811.13
  4. Step 4: Simplify right side
    345,363.75x = 245,828,671,673.77
  5. Step 5: Solve for x
    x = 245,828,671,673.77/345,363.75
  6. Step 6: Final answer
    x = 711,796.39

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.