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Finding the Third Proportional to 473,320 and 714,908

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Solution

The third proportional to 473,320 and 714,908 is: 1,079,805.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,320 : 714,908 = 714,908 : x
  2. Step 2: Convert to fraction form
    473,320/714,908 = 714,908/x
  3. Step 3: Cross multiply
    473,320x = 714,908 × 714,908
  4. Step 4: Simplify right side
    473,320x = 511,093,448,464
  5. Step 5: Solve for x
    x = 511,093,448,464/473,320
  6. Step 6: Final answer
    x = 1,079,805.31

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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.