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Finding the Third Proportional to 432,210 and 634,302.75

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Solution

The third proportional to 432,210 and 634,302.75 is: 930,890.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,210 : 634,302.75 = 634,302.75 : x
  2. Step 2: Convert to fraction form
    432,210/634,302.75 = 634,302.75/x
  3. Step 3: Cross multiply
    432,210x = 634,302.75 × 634,302.75
  4. Step 4: Simplify right side
    432,210x = 402,339,978,657.56
  5. Step 5: Solve for x
    x = 402,339,978,657.56/432,210
  6. Step 6: Final answer
    x = 930,890.03

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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.