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Finding the Third Proportional to 495,970.59 and 763,331.34

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Solution

The third proportional to 495,970.59 and 763,331.34 is: 1,174,817.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,970.59 : 763,331.34 = 763,331.34 : x
  2. Step 2: Convert to fraction form
    495,970.59/763,331.34 = 763,331.34/x
  3. Step 3: Cross multiply
    495,970.59x = 763,331.34 × 763,331.34
  4. Step 4: Simplify right side
    495,970.59x = 582,674,740,351.18
  5. Step 5: Solve for x
    x = 582,674,740,351.18/495,970.59
  6. Step 6: Final answer
    x = 1,174,817.11

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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.