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Finding the Third Proportional to 472,924 and 714,980

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Solution

The third proportional to 472,924 and 714,980 is: 1,080,927.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,924 : 714,980 = 714,980 : x
  2. Step 2: Convert to fraction form
    472,924/714,980 = 714,980/x
  3. Step 3: Cross multiply
    472,924x = 714,980 × 714,980
  4. Step 4: Simplify right side
    472,924x = 511,196,400,400
  5. Step 5: Solve for x
    x = 511,196,400,400/472,924
  6. Step 6: Final answer
    x = 1,080,927.17

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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.