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Finding the Third Proportional to 425,724 and 634,896

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Solution

The third proportional to 425,724 and 634,896 is: 946,840.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,724 : 634,896 = 634,896 : x
  2. Step 2: Convert to fraction form
    425,724/634,896 = 634,896/x
  3. Step 3: Cross multiply
    425,724x = 634,896 × 634,896
  4. Step 4: Simplify right side
    425,724x = 403,092,930,816
  5. Step 5: Solve for x
    x = 403,092,930,816/425,724
  6. Step 6: Final answer
    x = 946,840.98

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Why These Related Problems?

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