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Finding the Third Proportional to 357,235.50 and 763,602

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Solution

The third proportional to 357,235.50 and 763,602 is: 1,632,223.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,235.50 : 763,602 = 763,602 : x
  2. Step 2: Convert to fraction form
    357,235.50/763,602 = 763,602/x
  3. Step 3: Cross multiply
    357,235.50x = 763,602 × 763,602
  4. Step 4: Simplify right side
    357,235.50x = 583,088,014,404
  5. Step 5: Solve for x
    x = 583,088,014,404/357,235.50
  6. Step 6: Final answer
    x = 1,632,223.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.