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Finding the Third Proportional to 402,534.56 and 853,061.63

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Solution

The third proportional to 402,534.56 and 853,061.63 is: 1,807,830.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,534.56 : 853,061.63 = 853,061.63 : x
  2. Step 2: Convert to fraction form
    402,534.56/853,061.63 = 853,061.63/x
  3. Step 3: Cross multiply
    402,534.56x = 853,061.63 × 853,061.63
  4. Step 4: Simplify right side
    402,534.56x = 727,714,136,047.64
  5. Step 5: Solve for x
    x = 727,714,136,047.64/402,534.56
  6. Step 6: Final answer
    x = 1,807,830.19

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.