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Finding the Third Proportional to 357,223.50 and 507,768.75

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Solution

The third proportional to 357,223.50 and 507,768.75 is: 721,758.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,223.50 : 507,768.75 = 507,768.75 : x
  2. Step 2: Convert to fraction form
    357,223.50/507,768.75 = 507,768.75/x
  3. Step 3: Cross multiply
    357,223.50x = 507,768.75 × 507,768.75
  4. Step 4: Simplify right side
    357,223.50x = 257,829,103,476.56
  5. Step 5: Solve for x
    x = 257,829,103,476.56/357,223.50
  6. Step 6: Final answer
    x = 721,758.52

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.