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Finding the Third Proportional to 473,228 and 715,484

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Solution

The third proportional to 473,228 and 715,484 is: 1,081,756.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,228 : 715,484 = 715,484 : x
  2. Step 2: Convert to fraction form
    473,228/715,484 = 715,484/x
  3. Step 3: Cross multiply
    473,228x = 715,484 × 715,484
  4. Step 4: Simplify right side
    473,228x = 511,917,354,256
  5. Step 5: Solve for x
    x = 511,917,354,256/473,228
  6. Step 6: Final answer
    x = 1,081,756.27

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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.