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Finding the Third Proportional to 347,307 and 713,046

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Solution

The third proportional to 347,307 and 713,046 is: 1,463,934.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,307 : 713,046 = 713,046 : x
  2. Step 2: Convert to fraction form
    347,307/713,046 = 713,046/x
  3. Step 3: Cross multiply
    347,307x = 713,046 × 713,046
  4. Step 4: Simplify right side
    347,307x = 508,434,598,116
  5. Step 5: Solve for x
    x = 508,434,598,116/347,307
  6. Step 6: Final answer
    x = 1,463,934.21

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.