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Finding the Third Proportional to 415,256.63 and 593,812.69

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Solution

The third proportional to 415,256.63 and 593,812.69 is: 849,146.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,256.63 : 593,812.69 = 593,812.69 : x
  2. Step 2: Convert to fraction form
    415,256.63/593,812.69 = 593,812.69/x
  3. Step 3: Cross multiply
    415,256.63x = 593,812.69 × 593,812.69
  4. Step 4: Simplify right side
    415,256.63x = 352,613,507,835.97
  5. Step 5: Solve for x
    x = 352,613,507,835.97/415,256.63
  6. Step 6: Final answer
    x = 849,146.01

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.