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Finding the Third Proportional to 432,213.75 and 634,307.50

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Solution

The third proportional to 432,213.75 and 634,307.50 is: 930,895.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,213.75 : 634,307.50 = 634,307.50 : x
  2. Step 2: Convert to fraction form
    432,213.75/634,307.50 = 634,307.50/x
  3. Step 3: Cross multiply
    432,213.75x = 634,307.50 × 634,307.50
  4. Step 4: Simplify right side
    432,213.75x = 402,346,004,556.25
  5. Step 5: Solve for x
    x = 402,346,004,556.25/432,213.75
  6. Step 6: Final answer
    x = 930,895.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.