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Finding the Third Proportional to 403,430.63 and 950,980.50

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Solution

The third proportional to 403,430.63 and 950,980.50 is: 2,241,683.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,430.63 : 950,980.50 = 950,980.50 : x
  2. Step 2: Convert to fraction form
    403,430.63/950,980.50 = 950,980.50/x
  3. Step 3: Cross multiply
    403,430.63x = 950,980.50 × 950,980.50
  4. Step 4: Simplify right side
    403,430.63x = 904,363,911,380.25
  5. Step 5: Solve for x
    x = 904,363,911,380.25/403,430.63
  6. Step 6: Final answer
    x = 2,241,683.84

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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.