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Finding the Third Proportional to 590,728.50 and 1,295,839.13

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Solution

The third proportional to 590,728.50 and 1,295,839.13 is: 2,842,590.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,728.50 : 1,295,839.13 = 1,295,839.13 : x
  2. Step 2: Convert to fraction form
    590,728.50/1,295,839.13 = 1,295,839.13/x
  3. Step 3: Cross multiply
    590,728.50x = 1,295,839.13 × 1,295,839.13
  4. Step 4: Simplify right side
    590,728.50x = 1,679,199,037,880.77
  5. Step 5: Solve for x
    x = 1,679,199,037,880.77/590,728.50
  6. Step 6: Final answer
    x = 2,842,590.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.