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Finding the Third Proportional to 368,565.19 and 495,598.50

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Solution

The third proportional to 368,565.19 and 495,598.50 is: 666,416.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,565.19 : 495,598.50 = 495,598.50 : x
  2. Step 2: Convert to fraction form
    368,565.19/495,598.50 = 495,598.50/x
  3. Step 3: Cross multiply
    368,565.19x = 495,598.50 × 495,598.50
  4. Step 4: Simplify right side
    368,565.19x = 245,617,873,202.25
  5. Step 5: Solve for x
    x = 245,617,873,202.25/368,565.19
  6. Step 6: Final answer
    x = 666,416.37

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.