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Finding the Third Proportional to 318,128.63 and 686,071.13

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Solution

The third proportional to 318,128.63 and 686,071.13 is: 1,479,570.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,128.63 : 686,071.13 = 686,071.13 : x
  2. Step 2: Convert to fraction form
    318,128.63/686,071.13 = 686,071.13/x
  3. Step 3: Cross multiply
    318,128.63x = 686,071.13 × 686,071.13
  4. Step 4: Simplify right side
    318,128.63x = 470,693,588,558.77
  5. Step 5: Solve for x
    x = 470,693,588,558.77/318,128.63
  6. Step 6: Final answer
    x = 1,479,570.06

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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.