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Finding the Third Proportional to 517,043.25 and 772,466.63

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Solution

The third proportional to 517,043.25 and 772,466.63 is: 1,154,071.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,043.25 : 772,466.63 = 772,466.63 : x
  2. Step 2: Convert to fraction form
    517,043.25/772,466.63 = 772,466.63/x
  3. Step 3: Cross multiply
    517,043.25x = 772,466.63 × 772,466.63
  4. Step 4: Simplify right side
    517,043.25x = 596,704,686,738.89
  5. Step 5: Solve for x
    x = 596,704,686,738.89/517,043.25
  6. Step 6: Final answer
    x = 1,154,071.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.