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Finding the Third Proportional to 488,323.69 and 1,058,143.50

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Solution

The third proportional to 488,323.69 and 1,058,143.50 is: 2,292,880.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,323.69 : 1,058,143.50 = 1,058,143.50 : x
  2. Step 2: Convert to fraction form
    488,323.69/1,058,143.50 = 1,058,143.50/x
  3. Step 3: Cross multiply
    488,323.69x = 1,058,143.50 × 1,058,143.50
  4. Step 4: Simplify right side
    488,323.69x = 1,119,667,666,592.25
  5. Step 5: Solve for x
    x = 1,119,667,666,592.25/488,323.69
  6. Step 6: Final answer
    x = 2,292,880.10

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.