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Finding the Third Proportional to 482,673 and 634,714.50

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Solution

The third proportional to 482,673 and 634,714.50 is: 834,648.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,673 : 634,714.50 = 634,714.50 : x
  2. Step 2: Convert to fraction form
    482,673/634,714.50 = 634,714.50/x
  3. Step 3: Cross multiply
    482,673x = 634,714.50 × 634,714.50
  4. Step 4: Simplify right side
    482,673x = 402,862,496,510.25
  5. Step 5: Solve for x
    x = 402,862,496,510.25/482,673
  6. Step 6: Final answer
    x = 834,648.92

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.