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Finding the Third Proportional to 295,854 and 648,021

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Solution

The third proportional to 295,854 and 648,021 is: 1,419,386.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,854 : 648,021 = 648,021 : x
  2. Step 2: Convert to fraction form
    295,854/648,021 = 648,021/x
  3. Step 3: Cross multiply
    295,854x = 648,021 × 648,021
  4. Step 4: Simplify right side
    295,854x = 419,931,216,441
  5. Step 5: Solve for x
    x = 419,931,216,441/295,854
  6. Step 6: Final answer
    x = 1,419,386.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.