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Finding the Third Proportional to 348,302 and 711,364

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Solution

The third proportional to 348,302 and 711,364 is: 1,452,873.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,302 : 711,364 = 711,364 : x
  2. Step 2: Convert to fraction form
    348,302/711,364 = 711,364/x
  3. Step 3: Cross multiply
    348,302x = 711,364 × 711,364
  4. Step 4: Simplify right side
    348,302x = 506,038,740,496
  5. Step 5: Solve for x
    x = 506,038,740,496/348,302
  6. Step 6: Final answer
    x = 1,452,873.48

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.