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Finding the Third Proportional to 392,875.50 and 608,550

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Solution

The third proportional to 392,875.50 and 608,550 is: 942,622.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,875.50 : 608,550 = 608,550 : x
  2. Step 2: Convert to fraction form
    392,875.50/608,550 = 608,550/x
  3. Step 3: Cross multiply
    392,875.50x = 608,550 × 608,550
  4. Step 4: Simplify right side
    392,875.50x = 370,333,102,500
  5. Step 5: Solve for x
    x = 370,333,102,500/392,875.50
  6. Step 6: Final answer
    x = 942,622.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.