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Finding the Third Proportional to 473,192 and 715,426

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Solution

The third proportional to 473,192 and 715,426 is: 1,081,663.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,192 : 715,426 = 715,426 : x
  2. Step 2: Convert to fraction form
    473,192/715,426 = 715,426/x
  3. Step 3: Cross multiply
    473,192x = 715,426 × 715,426
  4. Step 4: Simplify right side
    473,192x = 511,834,361,476
  5. Step 5: Solve for x
    x = 511,834,361,476/473,192
  6. Step 6: Final answer
    x = 1,081,663.18

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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.