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Finding the Third Proportional to 228,042 and 362,929.50

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Solution

The third proportional to 228,042 and 362,929.50 is: 577,603.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,042 : 362,929.50 = 362,929.50 : x
  2. Step 2: Convert to fraction form
    228,042/362,929.50 = 362,929.50/x
  3. Step 3: Cross multiply
    228,042x = 362,929.50 × 362,929.50
  4. Step 4: Simplify right side
    228,042x = 131,717,821,970.25
  5. Step 5: Solve for x
    x = 131,717,821,970.25/228,042
  6. Step 6: Final answer
    x = 577,603.34

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.