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Finding the Third Proportional to 357,799.50 and 501,502.50

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Solution

The third proportional to 357,799.50 and 501,502.50 is: 702,920.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,799.50 : 501,502.50 = 501,502.50 : x
  2. Step 2: Convert to fraction form
    357,799.50/501,502.50 = 501,502.50/x
  3. Step 3: Cross multiply
    357,799.50x = 501,502.50 × 501,502.50
  4. Step 4: Simplify right side
    357,799.50x = 251,504,757,506.25
  5. Step 5: Solve for x
    x = 251,504,757,506.25/357,799.50
  6. Step 6: Final answer
    x = 702,920.93

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.