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Finding the Third Proportional to 491,282 and 745,786

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Solution

The third proportional to 491,282 and 745,786 is: 1,132,133.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,282 : 745,786 = 745,786 : x
  2. Step 2: Convert to fraction form
    491,282/745,786 = 745,786/x
  3. Step 3: Cross multiply
    491,282x = 745,786 × 745,786
  4. Step 4: Simplify right side
    491,282x = 556,196,757,796
  5. Step 5: Solve for x
    x = 556,196,757,796/491,282
  6. Step 6: Final answer
    x = 1,132,133.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.