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Finding the Third Proportional to 288,645 and 429,889.50

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Solution

The third proportional to 288,645 and 429,889.50 is: 640,250.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,645 : 429,889.50 = 429,889.50 : x
  2. Step 2: Convert to fraction form
    288,645/429,889.50 = 429,889.50/x
  3. Step 3: Cross multiply
    288,645x = 429,889.50 × 429,889.50
  4. Step 4: Simplify right side
    288,645x = 184,804,982,210.25
  5. Step 5: Solve for x
    x = 184,804,982,210.25/288,645
  6. Step 6: Final answer
    x = 640,250.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.