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Finding the Third Proportional to 343,356 and 710,472

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Solution

The third proportional to 343,356 and 710,472 is: 1,470,108.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,356 : 710,472 = 710,472 : x
  2. Step 2: Convert to fraction form
    343,356/710,472 = 710,472/x
  3. Step 3: Cross multiply
    343,356x = 710,472 × 710,472
  4. Step 4: Simplify right side
    343,356x = 504,770,462,784
  5. Step 5: Solve for x
    x = 504,770,462,784/343,356
  6. Step 6: Final answer
    x = 1,470,108.18

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.