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Finding the Third Proportional to 295,180.88 and 546,007.50

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Solution

The third proportional to 295,180.88 and 546,007.50 is: 1,009,971.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,180.88 : 546,007.50 = 546,007.50 : x
  2. Step 2: Convert to fraction form
    295,180.88/546,007.50 = 546,007.50/x
  3. Step 3: Cross multiply
    295,180.88x = 546,007.50 × 546,007.50
  4. Step 4: Simplify right side
    295,180.88x = 298,124,190,056.25
  5. Step 5: Solve for x
    x = 298,124,190,056.25/295,180.88
  6. Step 6: Final answer
    x = 1,009,971.23

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.