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Finding the Third Proportional to 284,047 and 607,460

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Solution

The third proportional to 284,047 and 607,460 is: 1,299,107.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,047 : 607,460 = 607,460 : x
  2. Step 2: Convert to fraction form
    284,047/607,460 = 607,460/x
  3. Step 3: Cross multiply
    284,047x = 607,460 × 607,460
  4. Step 4: Simplify right side
    284,047x = 369,007,651,600
  5. Step 5: Solve for x
    x = 369,007,651,600/284,047
  6. Step 6: Final answer
    x = 1,299,107.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.