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Finding the Third Proportional to 434,223 and 660,010.50

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Solution

The third proportional to 434,223 and 660,010.50 is: 1,003,203.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,223 : 660,010.50 = 660,010.50 : x
  2. Step 2: Convert to fraction form
    434,223/660,010.50 = 660,010.50/x
  3. Step 3: Cross multiply
    434,223x = 660,010.50 × 660,010.50
  4. Step 4: Simplify right side
    434,223x = 435,613,860,110.25
  5. Step 5: Solve for x
    x = 435,613,860,110.25/434,223
  6. Step 6: Final answer
    x = 1,003,203.10

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.