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Finding the Third Proportional to 357,783 and 484,186.50

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Solution

The third proportional to 357,783 and 484,186.50 is: 655,247.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,783 : 484,186.50 = 484,186.50 : x
  2. Step 2: Convert to fraction form
    357,783/484,186.50 = 484,186.50/x
  3. Step 3: Cross multiply
    357,783x = 484,186.50 × 484,186.50
  4. Step 4: Simplify right side
    357,783x = 234,436,566,782.25
  5. Step 5: Solve for x
    x = 234,436,566,782.25/357,783
  6. Step 6: Final answer
    x = 655,247.92

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.