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Finding the Third Proportional to 274,038 and 430,483.50

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Solution

The third proportional to 274,038 and 430,483.50 is: 676,242.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,038 : 430,483.50 = 430,483.50 : x
  2. Step 2: Convert to fraction form
    274,038/430,483.50 = 430,483.50/x
  3. Step 3: Cross multiply
    274,038x = 430,483.50 × 430,483.50
  4. Step 4: Simplify right side
    274,038x = 185,316,043,772.25
  5. Step 5: Solve for x
    x = 185,316,043,772.25/274,038
  6. Step 6: Final answer
    x = 676,242.14

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.