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Finding the Third Proportional to 500,011.50 and 1,078,207.50

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Solution

The third proportional to 500,011.50 and 1,078,207.50 is: 2,325,009.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,011.50 : 1,078,207.50 = 1,078,207.50 : x
  2. Step 2: Convert to fraction form
    500,011.50/1,078,207.50 = 1,078,207.50/x
  3. Step 3: Cross multiply
    500,011.50x = 1,078,207.50 × 1,078,207.50
  4. Step 4: Simplify right side
    500,011.50x = 1,162,531,413,056.25
  5. Step 5: Solve for x
    x = 1,162,531,413,056.25/500,011.50
  6. Step 6: Final answer
    x = 2,325,009.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.