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Finding the Third Proportional to 295,062.75 and 633,113.72

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Solution

The third proportional to 295,062.75 and 633,113.72 is: 1,358,466.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,062.75 : 633,113.72 = 633,113.72 : x
  2. Step 2: Convert to fraction form
    295,062.75/633,113.72 = 633,113.72/x
  3. Step 3: Cross multiply
    295,062.75x = 633,113.72 × 633,113.72
  4. Step 4: Simplify right side
    295,062.75x = 400,832,980,869.45
  5. Step 5: Solve for x
    x = 400,832,980,869.45/295,062.75
  6. Step 6: Final answer
    x = 1,358,466.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.