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Finding the Third Proportional to 529,411.50 and 799,053

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Solution

The third proportional to 529,411.50 and 799,053 is: 1,206,029.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,411.50 : 799,053 = 799,053 : x
  2. Step 2: Convert to fraction form
    529,411.50/799,053 = 799,053/x
  3. Step 3: Cross multiply
    529,411.50x = 799,053 × 799,053
  4. Step 4: Simplify right side
    529,411.50x = 638,485,696,809
  5. Step 5: Solve for x
    x = 638,485,696,809/529,411.50
  6. Step 6: Final answer
    x = 1,206,029.14

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.