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Finding the Third Proportional to 301,528.50 and 634,110

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Solution

The third proportional to 301,528.50 and 634,110 is: 1,333,524.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,528.50 : 634,110 = 634,110 : x
  2. Step 2: Convert to fraction form
    301,528.50/634,110 = 634,110/x
  3. Step 3: Cross multiply
    301,528.50x = 634,110 × 634,110
  4. Step 4: Simplify right side
    301,528.50x = 402,095,492,100
  5. Step 5: Solve for x
    x = 402,095,492,100/301,528.50
  6. Step 6: Final answer
    x = 1,333,524.00

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.