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Finding the Third Proportional to 236,464 and 347,784

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Solution

The third proportional to 236,464 and 347,784 is: 511,510.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,464 : 347,784 = 347,784 : x
  2. Step 2: Convert to fraction form
    236,464/347,784 = 347,784/x
  3. Step 3: Cross multiply
    236,464x = 347,784 × 347,784
  4. Step 4: Simplify right side
    236,464x = 120,953,710,656
  5. Step 5: Solve for x
    x = 120,953,710,656/236,464
  6. Step 6: Final answer
    x = 511,510.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.