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Finding the Third Proportional to 343,253 and 710,374

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Solution

The third proportional to 343,253 and 710,374 is: 1,470,143.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,253 : 710,374 = 710,374 : x
  2. Step 2: Convert to fraction form
    343,253/710,374 = 710,374/x
  3. Step 3: Cross multiply
    343,253x = 710,374 × 710,374
  4. Step 4: Simplify right side
    343,253x = 504,631,219,876
  5. Step 5: Solve for x
    x = 504,631,219,876/343,253
  6. Step 6: Final answer
    x = 1,470,143.65

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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.