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Finding the Third Proportional to 435,519 and 1,024,699.50

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Solution

The third proportional to 435,519 and 1,024,699.50 is: 2,410,937.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,519 : 1,024,699.50 = 1,024,699.50 : x
  2. Step 2: Convert to fraction form
    435,519/1,024,699.50 = 1,024,699.50/x
  3. Step 3: Cross multiply
    435,519x = 1,024,699.50 × 1,024,699.50
  4. Step 4: Simplify right side
    435,519x = 1,050,009,065,300.25
  5. Step 5: Solve for x
    x = 1,050,009,065,300.25/435,519
  6. Step 6: Final answer
    x = 2,410,937.45

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.