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Finding the Third Proportional to 425,647.13 and 634,780.13

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Solution

The third proportional to 425,647.13 and 634,780.13 is: 946,666.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,647.13 : 634,780.13 = 634,780.13 : x
  2. Step 2: Convert to fraction form
    425,647.13/634,780.13 = 634,780.13/x
  3. Step 3: Cross multiply
    425,647.13x = 634,780.13 × 634,780.13
  4. Step 4: Simplify right side
    425,647.13x = 402,945,807,095.02
  5. Step 5: Solve for x
    x = 402,945,807,095.02/425,647.13
  6. Step 6: Final answer
    x = 946,666.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.