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Finding the Third Proportional to 295,108.50 and 633,228

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Solution

The third proportional to 295,108.50 and 633,228 is: 1,358,746.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,108.50 : 633,228 = 633,228 : x
  2. Step 2: Convert to fraction form
    295,108.50/633,228 = 633,228/x
  3. Step 3: Cross multiply
    295,108.50x = 633,228 × 633,228
  4. Step 4: Simplify right side
    295,108.50x = 400,977,699,984
  5. Step 5: Solve for x
    x = 400,977,699,984/295,108.50
  6. Step 6: Final answer
    x = 1,358,746.70

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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.