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Finding the Third Proportional to 287,042.06 and 601,762.50

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Solution

The third proportional to 287,042.06 and 601,762.50 is: 1,261,550.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,042.06 : 601,762.50 = 601,762.50 : x
  2. Step 2: Convert to fraction form
    287,042.06/601,762.50 = 601,762.50/x
  3. Step 3: Cross multiply
    287,042.06x = 601,762.50 × 601,762.50
  4. Step 4: Simplify right side
    287,042.06x = 362,118,106,406.25
  5. Step 5: Solve for x
    x = 362,118,106,406.25/287,042.06
  6. Step 6: Final answer
    x = 1,261,550.67

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.