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Finding the Third Proportional to 249,147 and 584,905.50

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Solution

The third proportional to 249,147 and 584,905.50 is: 1,373,142.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,147 : 584,905.50 = 584,905.50 : x
  2. Step 2: Convert to fraction form
    249,147/584,905.50 = 584,905.50/x
  3. Step 3: Cross multiply
    249,147x = 584,905.50 × 584,905.50
  4. Step 4: Simplify right side
    249,147x = 342,114,443,930.25
  5. Step 5: Solve for x
    x = 342,114,443,930.25/249,147
  6. Step 6: Final answer
    x = 1,373,142.94

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.