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Finding the Third Proportional to 450,181.13 and 686,706.19

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Solution

The third proportional to 450,181.13 and 686,706.19 is: 1,047,501.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,181.13 : 686,706.19 = 686,706.19 : x
  2. Step 2: Convert to fraction form
    450,181.13/686,706.19 = 686,706.19/x
  3. Step 3: Cross multiply
    450,181.13x = 686,706.19 × 686,706.19
  4. Step 4: Simplify right side
    450,181.13x = 471,565,387,950.79
  5. Step 5: Solve for x
    x = 471,565,387,950.79/450,181.13
  6. Step 6: Final answer
    x = 1,047,501.46

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.