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Finding the Third Proportional to 427,365 and 634,459.50

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Solution

The third proportional to 427,365 and 634,459.50 is: 941,908.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,365 : 634,459.50 = 634,459.50 : x
  2. Step 2: Convert to fraction form
    427,365/634,459.50 = 634,459.50/x
  3. Step 3: Cross multiply
    427,365x = 634,459.50 × 634,459.50
  4. Step 4: Simplify right side
    427,365x = 402,538,857,140.25
  5. Step 5: Solve for x
    x = 402,538,857,140.25/427,365
  6. Step 6: Final answer
    x = 941,908.81

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.