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Finding the Third Proportional to 459,609 and 686,632.50

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Solution

The third proportional to 459,609 and 686,632.50 is: 1,025,794.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,609 : 686,632.50 = 686,632.50 : x
  2. Step 2: Convert to fraction form
    459,609/686,632.50 = 686,632.50/x
  3. Step 3: Cross multiply
    459,609x = 686,632.50 × 686,632.50
  4. Step 4: Simplify right side
    459,609x = 471,464,190,056.25
  5. Step 5: Solve for x
    x = 471,464,190,056.25/459,609
  6. Step 6: Final answer
    x = 1,025,794.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.