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Finding the Third Proportional to 357,085.50 and 484,419

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Solution

The third proportional to 357,085.50 and 484,419 is: 657,158.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,085.50 : 484,419 = 484,419 : x
  2. Step 2: Convert to fraction form
    357,085.50/484,419 = 484,419/x
  3. Step 3: Cross multiply
    357,085.50x = 484,419 × 484,419
  4. Step 4: Simplify right side
    357,085.50x = 234,661,767,561
  5. Step 5: Solve for x
    x = 234,661,767,561/357,085.50
  6. Step 6: Final answer
    x = 657,158.49

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.