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Finding the Third Proportional to 432,215.25 and 634,300.31

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Solution

The third proportional to 432,215.25 and 634,300.31 is: 930,871.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,215.25 : 634,300.31 = 634,300.31 : x
  2. Step 2: Convert to fraction form
    432,215.25/634,300.31 = 634,300.31/x
  3. Step 3: Cross multiply
    432,215.25x = 634,300.31 × 634,300.31
  4. Step 4: Simplify right side
    432,215.25x = 402,336,886,437.60
  5. Step 5: Solve for x
    x = 402,336,886,437.60/432,215.25
  6. Step 6: Final answer
    x = 930,871.57

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