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Finding the Third Proportional to 491,628 and 750,564

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Solution

The third proportional to 491,628 and 750,564 is: 1,145,879.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,628 : 750,564 = 750,564 : x
  2. Step 2: Convert to fraction form
    491,628/750,564 = 750,564/x
  3. Step 3: Cross multiply
    491,628x = 750,564 × 750,564
  4. Step 4: Simplify right side
    491,628x = 563,346,318,096
  5. Step 5: Solve for x
    x = 563,346,318,096/491,628
  6. Step 6: Final answer
    x = 1,145,879.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.