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Finding the Third Proportional to 473,208 and 715,460

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Solution

The third proportional to 473,208 and 715,460 is: 1,081,729.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,208 : 715,460 = 715,460 : x
  2. Step 2: Convert to fraction form
    473,208/715,460 = 715,460/x
  3. Step 3: Cross multiply
    473,208x = 715,460 × 715,460
  4. Step 4: Simplify right side
    473,208x = 511,883,011,600
  5. Step 5: Solve for x
    x = 511,883,011,600/473,208
  6. Step 6: Final answer
    x = 1,081,729.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.