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Finding the Third Proportional to 650,290.78 and 1,014,802.17

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Solution

The third proportional to 650,290.78 and 1,014,802.17 is: 1,583,635.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,290.78 : 1,014,802.17 = 1,014,802.17 : x
  2. Step 2: Convert to fraction form
    650,290.78/1,014,802.17 = 1,014,802.17/x
  3. Step 3: Cross multiply
    650,290.78x = 1,014,802.17 × 1,014,802.17
  4. Step 4: Simplify right side
    650,290.78x = 1,029,823,448,042.22
  5. Step 5: Solve for x
    x = 1,029,823,448,042.22/650,290.78
  6. Step 6: Final answer
    x = 1,583,635.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.