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Finding the Third Proportional to 331,343.16 and 715,559.06

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Solution

The third proportional to 331,343.16 and 715,559.06 is: 1,545,300.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,343.16 : 715,559.06 = 715,559.06 : x
  2. Step 2: Convert to fraction form
    331,343.16/715,559.06 = 715,559.06/x
  3. Step 3: Cross multiply
    331,343.16x = 715,559.06 × 715,559.06
  4. Step 4: Simplify right side
    331,343.16x = 512,024,771,925.88
  5. Step 5: Solve for x
    x = 512,024,771,925.88/331,343.16
  6. Step 6: Final answer
    x = 1,545,300.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.