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Finding the Third Proportional to 806,564.25 and 1,238,044.50

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Solution

The third proportional to 806,564.25 and 1,238,044.50 is: 1,900,349.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,564.25 : 1,238,044.50 = 1,238,044.50 : x
  2. Step 2: Convert to fraction form
    806,564.25/1,238,044.50 = 1,238,044.50/x
  3. Step 3: Cross multiply
    806,564.25x = 1,238,044.50 × 1,238,044.50
  4. Step 4: Simplify right side
    806,564.25x = 1,532,754,183,980.25
  5. Step 5: Solve for x
    x = 1,532,754,183,980.25/806,564.25
  6. Step 6: Final answer
    x = 1,900,349.77

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Why These Related Problems?

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