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Finding the Third Proportional to 284,113.50 and 612,507

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Solution

The third proportional to 284,113.50 and 612,507 is: 1,320,475.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,113.50 : 612,507 = 612,507 : x
  2. Step 2: Convert to fraction form
    284,113.50/612,507 = 612,507/x
  3. Step 3: Cross multiply
    284,113.50x = 612,507 × 612,507
  4. Step 4: Simplify right side
    284,113.50x = 375,164,825,049
  5. Step 5: Solve for x
    x = 375,164,825,049/284,113.50
  6. Step 6: Final answer
    x = 1,320,475.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.