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Finding the Third Proportional to 476,458 and 714,848

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Solution

The third proportional to 476,458 and 714,848 is: 1,072,513.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,458 : 714,848 = 714,848 : x
  2. Step 2: Convert to fraction form
    476,458/714,848 = 714,848/x
  3. Step 3: Cross multiply
    476,458x = 714,848 × 714,848
  4. Step 4: Simplify right side
    476,458x = 511,007,663,104
  5. Step 5: Solve for x
    x = 511,007,663,104/476,458
  6. Step 6: Final answer
    x = 1,072,513.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.