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Finding the Third Proportional to 229,470 and 497,074.50

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Solution

The third proportional to 229,470 and 497,074.50 is: 1,076,755.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,470 : 497,074.50 = 497,074.50 : x
  2. Step 2: Convert to fraction form
    229,470/497,074.50 = 497,074.50/x
  3. Step 3: Cross multiply
    229,470x = 497,074.50 × 497,074.50
  4. Step 4: Simplify right side
    229,470x = 247,083,058,550.25
  5. Step 5: Solve for x
    x = 247,083,058,550.25/229,470
  6. Step 6: Final answer
    x = 1,076,755.39

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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.