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Finding the Third Proportional to 565,058.25 and 1,333,622.81

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Solution

The third proportional to 565,058.25 and 1,333,622.81 is: 3,147,551.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,058.25 : 1,333,622.81 = 1,333,622.81 : x
  2. Step 2: Convert to fraction form
    565,058.25/1,333,622.81 = 1,333,622.81/x
  3. Step 3: Cross multiply
    565,058.25x = 1,333,622.81 × 1,333,622.81
  4. Step 4: Simplify right side
    565,058.25x = 1,778,549,806,020.41
  5. Step 5: Solve for x
    x = 1,778,549,806,020.41/565,058.25
  6. Step 6: Final answer
    x = 3,147,551.26

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.