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Finding the Third Proportional to 272,094.75 and 429,007.50

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Solution

The third proportional to 272,094.75 and 429,007.50 is: 676,409.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,094.75 : 429,007.50 = 429,007.50 : x
  2. Step 2: Convert to fraction form
    272,094.75/429,007.50 = 429,007.50/x
  3. Step 3: Cross multiply
    272,094.75x = 429,007.50 × 429,007.50
  4. Step 4: Simplify right side
    272,094.75x = 184,047,435,056.25
  5. Step 5: Solve for x
    x = 184,047,435,056.25/272,094.75
  6. Step 6: Final answer
    x = 676,409.36

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.