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Finding the Third Proportional to 563,004.63 and 1,238,609

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Solution

The third proportional to 563,004.63 and 1,238,609 is: 2,724,937.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,004.63 : 1,238,609 = 1,238,609 : x
  2. Step 2: Convert to fraction form
    563,004.63/1,238,609 = 1,238,609/x
  3. Step 3: Cross multiply
    563,004.63x = 1,238,609 × 1,238,609
  4. Step 4: Simplify right side
    563,004.63x = 1,534,152,254,881
  5. Step 5: Solve for x
    x = 1,534,152,254,881/563,004.63
  6. Step 6: Final answer
    x = 2,724,937.22

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.